# zbMATH — the first resource for mathematics

## Journal of Integer Sequences

 Short Title: J. Integer Seq. Publisher: University of Waterloo, School of Computer Science, Waterloo, ON ISSN: 1530-7638/e Online: http://www.cs.uwaterloo.ca/journals/JIS/http://www.emis.de/journals/JIS/ Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1998). This journal is available open access.
 Documents Indexed: 1,266 Publications (since 1998) References Indexed: 280 Publications with 4,079 References.
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#### Authors

 44 Barry, Paul 21 Luca, Florian 15 Shattuck, Mark A. 12 Belbachir, Hacene 11 De Koninck, Jean-Marie 11 Janjić, Milan 11 Kimberling, Clark H. 10 Prodinger, Helmut 10 Zhao, Fengzhen 9 Bordellès, Olivier 9 Griffiths, Martin 9 Mansour, Toufik 8 Broughan, Kevin A. 8 Callan, David 8 Sellers, James Allen 8 Sloane, Neil James Alexander 8 Tóth, László 8 Woan, Wen-Jin 7 Ballot, Christian 7 Hennessy, Aoife 7 Kitaev, Sergey 7 Rampersad, Narad 6 Chu, Hùng Việt 6 Farhi, Bakir 6 Flórez, Rigoberto 6 Iannucci, Douglas E. 6 Jakimczuk, Rafael 6 Khovanova, Tanya 6 Marques, Diego 6 Mező, István 6 Müller, Tom 6 Munarini, Emanuele 6 Pandey, Ram Krishna 6 Ramírez, José Luis 6 Shevelev, Vladimir Samuil 6 Tripathi, Amitabha 6 Wituła, Roman 6 Zhai, Wenguang 5 Barbero, Stefano 5 Brent, Richard Peirce 5 Chen, Kwang-Wu 5 Coons, Michael 5 Currie, James D. 5 Doyon, Nicolas 5 Girstmair, Kurt 5 Haukkanen, Pentti 5 Merikoski, Jorma Kaarlo 5 Mihoubi, Miloud 5 Munagi, Augustine O. 5 Neto, Antônio Francisco 5 Pongsriiam, Prapanpong 5 Quaintance, Jocelyn 5 Remmel, Jeffrey B. 5 Rinaldi, Simone 5 Spivey, Michael Z. 5 Szalay, László 5 Tossavainen, Timo 4 Bencherif, Farid 4 Benoumhani, Moussa 4 Cerruti, Umberto 4 Cloitre, Benoit 4 Dubner, Harvey 4 Elsner, Carsten 4 Gould, Henry Wadsworth 4 Higuita, Robinson A. 4 Jones, Lenny K. 4 Kátai, Imre 4 Laohakosol, Vichian 4 Mangontarum, Mahid M. 4 Matthews, Keith R. 4 Metzger, Jerry 4 Mikić, Jovan 4 Murru, Nadir 4 Németh, László 4 Noe, Tony D. 4 Pan, Jiaqiang 4 Pergola, Elisa 4 Pita Ruiz Velasco, Claudio de Jesús 4 Pudwell, Lara K. 4 Sapounakis, Aristidis 4 Shapiro, Louis W. 4 Sofo, Anthony 4 Sury, Balasubramanian 4 Tauraso, Roberto 4 Tsikouras, Panagiotis 4 Wagner, Carl G. 4 Wong, Tony W. H. 3 Adegoke, Kunle 3 Agapito, José 3 Applegate, David L. 3 Axler, Christian 3 Balof, Barry A. 3 Birmajer, Daniel 3 Bouroubi, Sadek 3 Boyadzhiev, Khristo N. 3 Bravo, Jhon Jairo 3 Butler, Steven Kay 3 Caldwell, Chris K. 3 Chamberland, Marc 3 Chen, Ricky X. F. ...and 1,323 more Authors
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#### Fields

 975 Number theory (11-XX) 609 Combinatorics (05-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 62 Computer science (68-XX) 59 Special functions (33-XX) 24 Group theory and generalizations (20-XX) 24 Convex and discrete geometry (52-XX) 23 Probability theory and stochastic processes (60-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Functions of a complex variable (30-XX) 12 Sequences, series, summability (40-XX) 10 Algebraic geometry (14-XX) 10 Real functions (26-XX) 9 Commutative algebra (13-XX) 9 Geometry (51-XX) 8 Approximations and expansions (41-XX) 8 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 6 Information and communication theory, circuits (94-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic topology (55-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Biology and other natural sciences (92-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

716 Publications have been cited 2,449 times in 1,749 Documents Cited by Year
The Hankel transform and some of its properties. Zbl 0978.15022
Layman, John W.
2001
A simplified Binet formula for $$k$$-generalized Fibonacci numbers. Zbl 1360.11031
Dresden, Gregory P. B.; Du, Zhaohui
2014
Objects counted by the central Delannoy numbers. Zbl 1012.05008
Sulanke, Robert A.
2003
On some (pseudo) involutions in the Riordan group. Zbl 1101.05005
Cameron, Naiomi T.; Nkwanta, Asamoah
2005
The $$r$$-Bell numbers. Zbl 1205.05017
Mező, István
2011
The enumeration of simple permutations. Zbl 1065.05001
Albert, M. H.; Atkinson, M. D.; Klazar, M.
2003
Patterns in inversion sequences. II: Inversion sequences avoiding triples of relations. Zbl 1384.05008
Martinez, Megan; Savage, Carla
2018
A generalized recurrence for Bell numbers. Zbl 1231.11026
Spivey, Michael Z.
2008
Permutations with given peak set. Zbl 1295.05008
Billey, Sara; Burdzy, Krzysztof; Sagan, Bruce E.
2013
Identities involving reciprocals of binomial coefficients. Zbl 1069.11008
Sury, B.; Wang, Tianming; Zhao, Feng-Zhen
2004
On generalizations of the Stirling number triangles. Zbl 0954.11010
Lang, Wolfdieter
2000
On integer-sequence-based constructions of generalized Pascal triangles. Zbl 1178.11023
Barry, Paul
2006
Moments of generalized Motzkin paths. Zbl 1012.05013
Sulanke, Robert A.
2000
Statistics on Dyck paths. Zbl 1101.05006
Mansour, Toufik
2006
A survey of gcd-sum functions. Zbl 1206.11118
Tóth, László
2010
Catwalks, sandsteps and Pascal pyramids. Zbl 1064.05014
Guy, Richard K.
2000
Counting peaks at height $$k$$ in a Dyck path. Zbl 1012.05004
Mansour, Toufik
2002
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Zbl 1213.42086
Barry, Paul
2011
Special multi-poly-Bernoulli numbers. Zbl 1140.11310
Hamahata, Y.; Masubuchi, H.
2007
Continued fractions and transformations of integer sequences. Zbl 1201.11033
Barry, Paul
2009
Catalan numbers, the Hankel transform, and Fibonacci numbers. Zbl 1041.11014
Cvetković, Aleksandar; Rajković, Predrag; Ivković, Milos
2002
Dyck paths with no peaks at height $$k$$. Zbl 0969.05002
Peart, Paul; Woan, Wen-Jin
2001
New classes of harmonic number identities. Zbl 1285.05006
Sofo, Anthony
2012
Convoluted convolved Fibonacci numbers. Zbl 1069.11004
Moree, Pieter
2004
A Wieferich prime search up to $$6.7 \times 10^{15}$$. Zbl 1278.11003
Dorais, François G.; Klyve, Dominic
2011
The 2-adic order of the Tribonacci numbers and the equation $$T_n = m!$$. Zbl 1372.11017
Marques, Diego; Lengyel, Tamás
2014
Primes in Fibonacci $$n$$-step and Lucas $$n$$-step sequences. Zbl 1101.11008
Noe, Tony D.; Vos Post, Jonathan
2005
Unimodal rays in the ordinary and generalized Pascal triangles. Zbl 1247.11021
Belbachir, Hacène; Szalay, László
2008
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
2008
Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers. Zbl 1364.11061
Chen, Hongwei
2016
The descent set and connectivity set of a permutation. Zbl 1101.05002
Stanley, Richard P.
2005
The $$k$$-binomial transforms and the Hankel transform. Zbl 1122.11014
Spivey, Michael Z.; Steil, Laura L.
2006
Series with central binomial coefficients, Catalan numbers, and harmonic numbers. Zbl 1291.11046
Boyadzhiev, Khristo N.
2012
Restricted weighted integer compositions and extended binomial coefficients. Zbl 1292.05015
Eger, Steffen
2013
Combinatorial interpretations of a generalization of the Genocchi numbers. Zbl 1092.11010
Domaratzki, Michael
2004
Investigating geometric and exponential polynomials with Euler-Seidel matrices. Zbl 1229.11039
Dil, Ayhan; Kurt, Veli
2011
Bell and Stirling numbers for graphs. Zbl 1213.05191
Duncan, Bryce; Peele, Rhodes
2009
Integer sequences and matrices over finite fields. Zbl 1102.05006
Morrison, Kent E.
2006
Regularity properties of the Stern enumeration of the rationals. Zbl 1204.11027
Reznick, Bruce
2008
Do the properties of an $$S$$-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
2013
Periodicity of the last digits of some combinatorial sequences. Zbl 1295.05050
Mező, István
2014
Sums of products of Bernoulli numbers, including poly-Bernoulli numbers. Zbl 1238.11021
Kamano, Ken
2010
Harmonic number identities via Euler’s transform. Zbl 1213.11054
Boyadzhiev, Khristo N.
2009
A $$(p, q)$$-analogue of the $$r$$-Whitney-Lah numbers. Zbl 1342.05015
Ramírez, José L.; Shattuck, Mark
2016
Schröder triangles, paths, and parallelogram polyominoes. Zbl 0974.05003
Pergola, Elisa; Sulanke, Robert A.
1998
Generating functions via Hankel and Stieltjes matrices. Zbl 0961.15018
Peart, Paul; Woan, Wen-Jin
2000
Balls on the lawn. Zbl 0923.05004
Mallows, Colin L.; Shapiro, Lou
1999
On the divisibility of generalized central trinomial coefficients. Zbl 1102.05009
Noe, Tony D.
2006
Determinants and recurrence sequences. Zbl 1286.11017
Janjić, Milan
2012
The generalized Stirling and Bell numbers revisited. Zbl 1294.05017
Mansour, Toufik; Schork, Matthias; Shattuck, Mark
2012
Some properties of abelian return words. Zbl 1297.68195
Rigo, M.; Salimov, P.; Vandomme, E.
2013
Translated Whitney and $$r$$-Whitney numbers: a combinatorial approach. Zbl 1292.05050
Belbachir, Hacène; Bousbaa, Imad Eddine
2013
The number of ternary words avoiding abelian cubes grows exponentially. Zbl 1101.68741
Aberkane, Ali; Currie, James D.; Rampersad, Narad
2004
An asymptotic expansion for the Bernoulli numbers of the second kind. Zbl 1229.11037
Nemes, Gergő
2011
On the sum of reciprocals of numbers satisfying a recurrence relation of order $$s$$. Zbl 1238.11012
Komatsu, Takao; Laohakosol, Vichian
2010
Arithmetic and growth of periodic orbits. Zbl 1004.11013
Puri, Yash; Ward, Thomas
2001
A partition formula for Fibonacci numbers. Zbl 1163.11012
Fahr, Philipp; Ringel, Claus Michael
2008
The number of inversions in permutations: A saddle point approach. Zbl 1024.05006
Louchard, Guy; Prodinger, Helmut
2003
Meixner-type results for Riordan arrays and associated integer sequences. Zbl 1201.42017
Barry, Paul; Hennessy, Aoife
2010
Higher order derivatives of trigonometric functions, Stirling numbers of the second kind, and Zeon algebra. Zbl 1358.11044
Neto, Antônio Francisco
2014
A congruence modulo 3 for partitions into distinct non-multiples of four. Zbl 1301.05028
Hirschhorn, Michael D.; Sellers, James A.
2014
A note on arithmetic progressions on elliptic curves. Zbl 1022.11026
Campbell, Garikai
2003
The number of topologies on a finite set. Zbl 1103.11007
Benoumhani, Moussa
2006
Two Catalan-type Riordan arrays and their connections to the Chebyshev polynomials of the first kind. Zbl 1292.05032
Nkwanta, Asamoah; Barnes, Earl R.
2012
Multi-poly-Bernoulli numbers and finite multiple zeta values. Zbl 1353.11032
Imatomi, Kohtaro; Kaneko, Masanobu; Takeda, Erika
2014
On {$$k$$}-colored Motzkin words. Zbl 1065.05011
Sapounakis, A.; Tsikouras, P.
2004
A recursive relation for weighted Motzkin sequences. Zbl 1065.05012
Woan, Wen-jin
2005
The gcd-sum function. Zbl 1004.11005
Broughan, Kevin A.
2001
Permutations with inversions. Zbl 0988.05007
Margolius, Barbara H.
2001
On Hultman numbers. Zbl 1138.05301
Doignon, Jean-Paul; Labarre, Anthony
2007
Fourier expansions and integral representations for Genocchi polynomials. Zbl 1228.11024
Luo, Qiu-Ming
2009
Combinatorial interpretation of generalized Stirling numbers. Zbl 1165.05307
Lang, Wolfdieter
2009
Carlitz’s identity for the Bernoulli numbers and Zeon algebra. Zbl 1378.11034
Neto, Antônio Francisco
2015
Jacobsthal numbers and alternating sign matrices. Zbl 0961.15008
Frey, Darrin D.; Sellers, James A.
2000
The minimal density of a letter in an infinite ternary square-free word is $$0.2746 \cdots$$. Zbl 1121.11303
Tarannikov, Yuriy
2002
Some formulae for products of geometric polynomials with applications. Zbl 1394.11022
Kargın, Levent
2017
On the gcd-sum function. Zbl 1247.11124
Tanigawa, Yoshio; Zhai, Wenguang
2008
An irrationality measure for regular paperfolding numbers. Zbl 1286.11110
Coons, Michael; Vrbik, Paul
2012
Incomplete Tribonacci numbers and polynomials. Zbl 1353.11025
Ramírez, José L.; Sirvent, Víctor F.
2014
Partition statistics and $$q$$-Bell numbers $$(q=-1)$$. Zbl 1064.05023
Wagner, Carl G.
2004
Counting unlabelled topologies and transitive relations. Zbl 1064.05068
Brinkmann, Gunnar; McKay, Brendan D.
2005
A note on arithmetic progressions on quartic elliptic curves. Zbl 1068.11039
Ulas, Maciej
2005
Counting solutions of quadratic congruences in several variables revisited. Zbl 1321.11041
Tóth, László
2014
On a family of generalized Pascal triangles defined by exponential Riordan arrays. Zbl 1158.05004
Barry, Paul
2007
Curious continued fractions, nonlinear recurrences, and transcendental numbers. Zbl 1378.11075
Hone, Andrew
2015
Constructing pseudo-involutions in the Riordan group. Zbl 1357.05009
Phulara, Dev; Shapiro, Louis
2017
The Akiyama-Tanigawa algorithm for Bernoulli numbers. Zbl 0982.11009
Kaneko, Masanobu
2000
Domino tilings and products of Fibonacci and Pell numbers. Zbl 1125.11011
Sellers, James A.
2002
14-term arithmetic progressions on quartic elliptic curves. Zbl 1101.11018
MacLeod, Allan J.
2006
On a generalized recurrence for Bell numbers. Zbl 1204.11055
Katriel, Jacob
2008
On solutions to a general combinatorial recurrence. Zbl 1291.11032
Spivey, Michael Z.
2011
The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158
Bell, Jason; Coons, Michael; Rowland, Eric
2013
On generalized pseudostandard words over binary alphabets. Zbl 1310.68175
Massé, Alexandre Blondin; Paquin, Geneviève; Tremblay, Hugo; Vuillon, Laurent
2013
On the central coefficients of Riordan matrices. Zbl 1310.11032
Barry, Paul
2013
Counting transitive relations. Zbl 1071.06003
Pfeiffer, Götz
2004
Pattern avoidance in matrices. Zbl 1064.05015
Kitaev, Sergey; Mansour, Toufik; Vella, Antoine
2005
The Fibonacci number of a grid graph and a new class of integer sequences. Zbl 1068.11009
Euler, Reinhardt
2005
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences. Zbl 1197.11030
Barry, Paul
2010
A new solution to the equation $$\tau(p)\equiv 0\pmod p$$. Zbl 1216.11055
Lygeros, Nik; Rozier, Olivier
2010
Hessenberg matrices and integer sequences. Zbl 1270.11013
Janjić, Milan
2010
A unified treatment of certain classes of combinatorial identities. Zbl 1460.05021
Batır, Necdet; Sofo, Anthony
2021
New combinatorial interpretations of the Fibonacci numbers squared, golden rectangle numbers, and Jacobsthal numbers using two types of tile. Zbl 1460.11022
Edwards, Kenneth; Allen, Michael A.
2021
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
2020
The Lie bracket and the arithmetic derivative. Zbl 1444.11012
Fan, Jun; Utev, Sergey
2020
Harmonic sums via Euler’s transform: complementing the approach of Boyadzhiev. Zbl 1446.11026
Frontczak, Robert
2020
Parity considerations for the mex-related partition functions of Andrews and Newman. Zbl 07211948
da Silva, Robson; Sellers, James A.
2020
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.; Blecher, A.; Knopfmacher, A.
2020
Leibniz-additive functions on UFD’s. Zbl 1458.11009
Murashka, Viachaslau I.; Goncharenko, Andrey D.; Goncharenko, Irina N.
2020
On the Erdős-Sloane and shifted Sloane persistence problems. Zbl 1454.11017
Bonuccelli, Gabriel; Colucci, Lucas; de Faria, Edson
2020
Run distribution over flattened partitions. Zbl 1451.05007
Nabawanda, Olivia; Rakotondrajao, Fanja; Bamunoba, Alex Samuel
2020
A summation involving the divisor and GCD functions. Zbl 1446.11182
Heyman, Randell
2020
A polynomial variant of perfect numbers. Zbl 07261886
Gallardo, Luis H.; Rahavandrainy, Olivier
2020
Symmetrized poly-Bernoulli numbers and combinatorics. Zbl 07261890
Matsusaka, Toshiki
2020
The number of threshold words on $$n$$ letters grows exponentially for every $$n \geq 27$$. Zbl 1442.68188
Currie, James D.; Mol, Lucas; Rampersad, Narad
2020
Some combinatorics of factorial base representations. Zbl 1446.11013
Ball, Tyler; Beckford, Joanne; Dalenberg, Paul; Edgar, Tom; Rajabi, Tina
2020
Log-concavity and LC-positivity for generalized triangles. Zbl 07211944
Ahmia, Moussa; Belbachir, Hacène
2020
Unordered factorizations with $$k$$ parts. Zbl 07211947
Sprittulla, Jacob
2020
Fermat Padovan and Perrin numbers. Zbl 1446.11027
Rihane, Salah Eddine; Adegbindin, Chèfiath Awero; Togbé, Alain
2020
Crossings over permutations avoiding some pairs of patterns of length three. Zbl 1442.05009
Rakotomamonjy, Paul M.; Andriantsoa, Sandrataniaina R.; Randrianarivony, Arthur
2020
On polycosecant numbers. Zbl 07212810
Kaneko, Masanobu; Pallewatta, Maneka; Tsumura, Hirofumi
2020
The number of solutions to $$ax + by + cz = n$$ and its relation to quadratic residues. Zbl 07212811
Binner, Damanvir Singh
2020
Nontrivial effective lower bounds for the least common multiple of some quadratic sequences. Zbl 1448.11005
Bousla, Sid Ali; Farhi, Bakir
2020
Some Toeplitz-Hessenberg determinant identities for the tetranacci numbers. Zbl 1447.15003
Goy, Taras; Shattuck, Mark
2020
Minimum coprime graph labelings. Zbl 1453.05116
Lee, Catherine
2020
New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials. Zbl 1465.11071
Boyadzhiev, Khristo N.
2020
Consecutive patterns in inversion sequences. II: Avoiding patterns of relations. Zbl 1425.05008
Auli, Juan S.; Elizalde, Sergi
2019
Log-concavity of recursively defined polynomials. Zbl 1454.11055
Heim, Bernhard; Neuhauser, Markus
2019
Repdigits as sums of two Padovan numbers. Zbl 1423.11127
García Lomelí, Ana Cecilia; Hernández Hernández, Santos
2019
New estimates for the $$n$$th prime number. Zbl 1418.11130
Axler, Christian
2019
Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials. Zbl 1461.11033
Frontczak, Robert
2019
A combinatorial classification of triangle centers on the line at infinity. Zbl 1423.05023
Kimberling, Clark
2019
Polynomial analogues of restricted $$b$$-ary partition functions. Zbl 1440.11191
Dilcher, Karl; Ericksen, Larry
2019
Diagonal sums in the Pascal pyramid. II: Applications. Zbl 1440.11020
Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László
2019
Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2019
The central coefficients of a family of Pascal-like triangles and colored lattice paths. Zbl 1405.05006
Barry, Paul
2019
When sets are not sum-dominant. Zbl 1418.11018
Chu, Hùng Việt
2019
Distributions of statistics over pattern-avoiding permutations. Zbl 1407.05005
Bukata, Michael; Kulwicki, Ryan; Lewandowski, Nicholas; Pudwell, Lara; Roth, Jacob; Wheeland, Teresa
2019
A probabilistic two-pile game. Zbl 1425.91086
Leung, Ho-Hon; Thanatipanonda, Thotsaporn &ldquo;Aek&rdquo;
2019
On a family of functions defined over sums of primes. Zbl 07114879
Axler, Christian
2019
Riordan pseudo-involutions, continued fractions and Somos-4 sequences. Zbl 1459.11033
Barry, Paul
2019
Product of consecutive tribonacci numbers with only one distinct digit. Zbl 1455.11027
Bravo, Eric F.; Gómez, Carlos A.; Luca, Florian
2019
Congruent number elliptic curves related to integral solutions of $$m^2=n^2+nl+n^2$$. Zbl 07056975
Halbeisen, Lorenz; Hungerbühler, Norbert
2019
Two new identities involving the Catalan numbers and sign-reversing involutions. Zbl 1431.05020
Mikić, Jovan
2019
Reciprocal sum of palindromes. Zbl 1453.11014
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong
2019
The $$\gamma$$-vectors of Pascal-like triangles defined by Riordan arrays. Zbl 1454.11059
Barry, Paul
2019
Enumerating multiplex juggling patterns. Zbl 1407.05011
Butler, Steve; Choi, Jeongyoon; Kim, Kimyung; Seo, Kyuhyeok
2019
Some double sums involving ratios of binomial coefficients arising from urn models. Zbl 1407.05009
Stenlund, David; Wan, James G.
2019
Arithmetic progressions in the graphs of slightly curved sequences. Zbl 1407.11018
Saito, Kota; Yoshida, Yuuya
2019
Euler’s divergent series in arithmetic progressions. Zbl 1443.11138
Ernvall-Hytönen, Anne-Maria; Matala-Aho, Tapani; Seppälä, Louna
2019
On the problem of Pillai with tribonacci numbers and powers of 3. Zbl 1450.11008
Ddamulira, Mahadi
2019
Some new restricted $$n$$-color composition functions. Zbl 1423.05010
Acosta, Jarib R.; Caicedo, Yadira; Poveda, Juan P.; Ramírez, José L.; Shattuck, Mark
2019
Patterns in inversion sequences. II: Inversion sequences avoiding triples of relations. Zbl 1384.05008
Martinez, Megan; Savage, Carla
2018
A generalization of the “problème des rencontres”. Zbl 1384.05046
Capparelli, Stefano; Ferrari, Margherita Maria; Munarini, Emanuele; Zagaglia Salvi, Norma
2018
Repdigits as sums of four Fibonacci or Lucas numbers. Zbl 1453.11006
Normenyo, Benedict Vasco; Luca, Florian; Togb, Alain
2018
Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences. Zbl 1390.15106
Barry, Paul; Mesinga Mwafise, Arnauld
2018
Polynomials characterizing hyper $$b$$-ary representations. Zbl 1390.05010
Dilcher, Karl; Ericksen, Larry
2018
Spivey’s Bell number formula revisited. Zbl 1390.11056
Mangontarum, Mahid M.
2018
Combinatorial identities for generalized Stirling numbers expanding $$f$$-factorial functions and the $$f$$-harmonic numbers. Zbl 1390.11051
Schmidt, Maxie D.
2018
Explicit formulas for the $$p$$-adic valuations of fibonomial coefficients. Zbl 1390.11041
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong
2018
On two new classes of $$B$$-$$q$$-bonacci polynomials. Zbl 1390.11033
Arolkar, Suchita; Valaulikar, Yeshwant Shivrai
2018
The star of David and other patterns in Hosoya polynomial triangles. Zbl 1390.11036
Flórez, Rigoberto; Higuita, Robinson A.; Mukherjee, Antara
2018
Generalization of an identity of Apostol. Zbl 1390.11044
Zekiri, Abdelmoumène; Bencherif, Farid; Boumahdi, Rachid
2018
The formal inverse of the period-doubling sequence. Zbl 1412.68176
Rampersad, Narad; Stipulanti, Manon
2018
New sufficient conditions for log-balancedness, with applications to combinatorial sequences. Zbl 1393.05056
Liu, Rui-Li; Zhao, Feng-Zhen
2018
A probabilistic take-away game. Zbl 1418.91116
Wong, Tony W. H.; Xu, Jiao
2018
Another identity for complete Bell polynomials based on Ramanujan’s congruences. Zbl 1395.05019
Leung, Ho-Hon
2018
Lucasnomial Fuss-Catalan numbers and related divisibility questions. Zbl 1398.11045
Ballot, Christian
2018
Greatest common divisors of shifted Fibonacci sequences revisited. Zbl 1398.11041
Rahn, Annalena; Kreh, Martin
2018
Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers. Zbl 1398.11037
Adegoke, Kunle
2018
On a transformation of Riordan moment sequences. Zbl 1433.05017
Barry, Paul
2018
Motzkin numbers: an operational point of view. Zbl 1400.11072
Artioli, M.; Dattoli, G.; Licciardi, S.; Pagnutti, S.
2018
The number of domino matchings in the game of memory. Zbl 1401.05026
Young, Donovan
2018
When sets can and cannot have sum-dominant subsets. Zbl 1408.11006
Chu, Hùng Việt; McNew, Nathan; Miller, Steven J.; Xu, Victor; Zhang, Sean
2018
Further results on paths in an $$n$$-dimensional cubic lattice. Zbl 1384.05022
Flórez, Rigoberto; Junes, Leandro; Ramírez, José L.
2018
Words and linear recurrences. Zbl 1384.05011
Janjić, Milan
2018
Generalizations of the reciprocal Fibonacci-Lucas sums of Brousseau. Zbl 1390.11031
Adegoke, Kunle
2018
Generation of union-closed sets and Moore families. Zbl 1384.05015
Brinkmann, Gunnar; Deklerck, Robin
2018
On the primality of the generalized Fuss-Catalan numbers. Zbl 1390.11035
Chou, Wun-Seng; He, Tian-Xiao; Shiue, Peter J.-S.
2018
Descents in parking functions. Zbl 1384.05009
Schumacher, Paul R. F.
2018
Jacobsthal numbers and associated Hessenberg matrices. Zbl 1384.05110
Öteleş, Ahmet; Karatas, Zekeriya Y.; Zangana, Diyar O. Mustafa
2018
Eigenvalues of matrices whose elements are Ramanujan sums or Kloosterman sums. Zbl 1436.11100
Ushiroya, Noboru
2018
On the reciprocal sums of products of Fibonacci numbers. Zbl 1384.11021
Choo, Younseok
2018
Woon’s tree and sums over compositions. Zbl 1384.05032
Vignat, Christophe; Wakhare, Tanay
2018
On some combinations of non-consecutive terms of a recurrence sequence. Zbl 1390.11074
Trojovská, Eva
2018
Enumerating minimal length lattice paths. Zbl 1384.05020
Evoniuk, Jackson; Klee, Steven; Magnan, Van
2018
Improved estimates for the number of privileged words. Zbl 1387.68192
Nicholson, Jeremy; Rampersad, Narad
2018
Pascal matrices and restricted words. Zbl 1391.05015
Janji, Milan
2018
A new class of refined Eulerian polynomials. Zbl 1391.05014
Sun, Hua
2018
Motzkin and Catalan tunnel polynomials. Zbl 1403.05011
Barnabei, Marilena; Bonetti, Flavio; Castronuovo, Niccolò; Silimbani, Matteo
2018
New congruences for broken $$k$$-diamond partitions. Zbl 1398.05035
Tang, Dazhao
2018
Some notes on alternating power sums of arithmetic progressions. Zbl 1453.11034
Bazsó, András; Mező, István
2018
Integer compositions and higher-order conjugation. Zbl 1401.05032
Munagi, Augustine O.
2018
A method for examining divisibility properties of some binomial sums. Zbl 1401.05021
Miki, Jovan
2018
Some formulae for products of geometric polynomials with applications. Zbl 1394.11022
Kargın, Levent
2017
Constructing pseudo-involutions in the Riordan group. Zbl 1357.05009
Phulara, Dev; Shapiro, Louis
2017
A note on some recent results for the Bernoulli numbers of the second kind. Zbl 1381.11017
Blagouchine, Iaroslav V.
2017
Jacobi-type continued fractions for the ordinary generating functions of generalized factorial functions. Zbl 1355.05012
Schmidt, Maxie D.
2017
The tilings of a ($$2 \times$$ n)-board and some new combinatorial identities. Zbl 1361.05016
Kahkeshani, Reza
2017
On functions expressible as words on a pair of Beatty sequences. Zbl 1394.11019
Ballot, Christian
2017
Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection. Zbl 1384.05048
Rubey, Martin; Stump, Christian
2017
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#### Cited by 2,151 Authors

 29 Ramírez, José Luis 25 Komatsu, Takao 25 Mansour, Toufik 22 Luca, Florian 18 Shattuck, Mark A. 18 Sofo, Anthony 17 Belbachir, Hacene 17 Qi, Feng 16 Cheon, Gi-Sang 15 Barry, Paul 15 Rinaldi, Simone 14 Corcino, Roberto Bagsarsa 14 Kim, Dae San 14 Kim, Taekyun 13 Bravo, Jhon Jairo 12 Yang, Shengliang 11 Mező, István 11 Pinzani, Renzo 10 Chu, Wenchang 10 Flórez, Rigoberto 10 Harris, Pamela E. 10 Shapiro, Louis W. 9 Goy, Taras P. 9 Keskin, Refik 9 Kim, Hana 9 Marques, Diego 9 Shallit, Jeffrey O. 8 Baril, Jean-Luc 8 Bouvel, Mathilde 8 Lin, Zhicong 8 Merca, Mircea 8 Moree, Pieter 8 Tóth, László 8 Trojovský, Pavel 8 Wang, Yi 7 Allouche, Jean-Paul Simon 7 Gómez, Carlos Alexis 7 Guo, Bai-Ni 7 Hone, Andrew N. W. 7 Kitaev, Sergey 7 Munarini, Emanuele 7 Murru, Nadir 7 Rigo, Michel 7 Schork, Matthias 7 Sun, Zhi-Wei 7 Szalay, László 6 Axler, Christian 6 Barbero, Stefano 6 Batir, Necdet 6 Bényi, Beáta 6 Berthé, Valérie 6 Cerruti, Umberto 6 Corcino, Cristina Bordaje 6 Elizalde, Sergi 6 Han, Guo-Niu 6 Kirgizov, Sergey 6 Kiuchi, Isao 6 Mihoubi, Miloud 6 Pelantová, Edita 6 Pergola, Elisa 6 Prodinger, Helmut 6 Rampersad, Narad 6 Sapounakis, Aristidis 6 Schmidt, Maxie Dion 6 Simsek, Yilmaz 6 Sulanke, Robert A. 6 Tasoulas, Ioannis 6 Togbé, Alain 6 Tripathi, Amitabha 6 Tsikouras, Panagiotis 6 Zhu, Baoxuan 5 Ahmia, Moussa 5 Albert, Michael Henry 5 Bagno, Eli 5 Boyadzhiev, Khristo N. 5 Ddamulira, Mahadi 5 Dekking, Frederik Michel 5 Deutsch, Emeric 5 Diaz-Lopez, Alexander 5 Ferrari, Luca 5 Herrera, José L. 5 Insko, Erik 5 Jung, Ji-Hwan 5 Kilic, Emrah 5 Krattenthaler, Christian Friedrich 5 Mangontarum, Mahid M. 5 Merlini, Donatella 5 Németh, László 5 Nyul, Gábor 5 Ochem, Pascal 5 Petrossian, Armen 5 Rahmani, Mourad 5 Ringel, Claus Michael 5 Sagan, Bruce Eli 5 Sellers, James Allen 5 Srivastava, Hari Mohan 5 Tenner, Bridget Eileen 5 Vamshee Krishna, Deekonda 5 Wakhare, Tanay V. 5 Wituła, Roman ...and 2,051 more Authors
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#### Cited in 342 Journals

 133 Journal of Integer Sequences 87 Discrete Mathematics 83 Journal of Number Theory 68 Integers 65 Linear Algebra and its Applications 45 European Journal of Combinatorics 44 Advances in Applied Mathematics 43 The Ramanujan Journal 39 Theoretical Computer Science 32 Discrete Applied Mathematics 32 Journal of Combinatorial Theory. Series A 28 The Electronic Journal of Combinatorics 28 International Journal of Number Theory 25 Applied Mathematics and Computation 21 Rocky Mountain Journal of Mathematics 16 Monatshefte für Mathematik 16 Indagationes Mathematicae. New Series 15 Annals of Combinatorics 14 Advances in Applied Clifford Algebras 13 Journal of Statistical Planning and Inference 13 Journal of Algebraic Combinatorics 13 Mediterranean Journal of Mathematics 12 Mathematics of Computation 12 Acta Arithmetica 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Advances in Difference Equations 11 Journal of Mathematical Analysis and Applications 11 Quaestiones Mathematicae 11 Graphs and Combinatorics 10 Functiones et Approximatio. Commentarii Mathematici 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 American Mathematical Monthly 9 International Journal of Mathematics and Mathematical Sciences 9 Journal of Algebra 9 Aequationes Mathematicae 9 The Australasian Journal of Combinatorics 9 Turkish Journal of Mathematics 9 Séminaire Lotharingien de Combinatoire 8 Periodica Mathematica Hungarica 8 Advances in Mathematics 8 Proceedings of the American Mathematical Society 8 Results in Mathematics 8 Transactions of the American Mathematical Society 8 SIAM Journal on Discrete Mathematics 8 Finite Fields and their Applications 8 Abstract and Applied Analysis 8 Journal of Inequalities and Applications 7 Indian Journal of Pure & Applied Mathematics 7 Lithuanian Mathematical Journal 7 Journal of Symbolic Computation 7 Journal de Théorie des Nombres de Bordeaux 7 Research in Number Theory 6 Information Processing Letters 6 Ars Mathematica Contemporanea 6 Special Matrices 5 Bulletin of the Australian Mathematical Society 5 Journal of Approximation Theory 5 Ergodic Theory and Dynamical Systems 5 Order 5 Designs, Codes and Cryptography 5 Russian Journal of Mathematical Physics 5 Integral Transforms and Special Functions 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Communications of the Korean Mathematical Society 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Contributions to Discrete Mathematics 5 Discrete Mathematics, Algorithms and Applications 5 International Journal of Combinatorics 5 RAIRO. Theoretical Informatics and Applications 5 Afrika Matematika 5 Journal of Classical Analysis 4 Linear and Multilinear Algebra 4 Czechoslovak Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Semigroup Forum 4 Random Structures & Algorithms 4 Journal of Mathematical Sciences (New York) 4 Bulletin des Sciences Mathématiques 4 Annales Mathematicae Silesianae 4 Central European Journal of Mathematics 4 Asian-European Journal of Mathematics 4 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Transactions on Combinatorics 3 The Mathematical Gazette 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Ukrainian Mathematical Journal 3 Chaos, Solitons and Fractals 3 Mathematics Magazine 3 International Journal of Game Theory 3 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Psychology 3 Topology and its Applications 3 Bulletin of the Korean Mathematical Society 3 Acta Mathematica Hungarica 3 Algorithmica 3 Journal of Theoretical Probability 3 Mathematica Bohemica 3 Elemente der Mathematik ...and 242 more Journals
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#### Cited in 56 Fields

 1,010 Number theory (11-XX) 845 Combinatorics (05-XX) 150 Computer science (68-XX) 136 Linear and multilinear algebra; matrix theory (15-XX) 106 Special functions (33-XX) 66 Dynamical systems and ergodic theory (37-XX) 55 Probability theory and stochastic processes (60-XX) 43 Group theory and generalizations (20-XX) 39 Convex and discrete geometry (52-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 35 Functions of a complex variable (30-XX) 31 Real functions (26-XX) 26 Associative rings and algebras (16-XX) 26 Numerical analysis (65-XX) 25 Algebraic geometry (14-XX) 25 Sequences, series, summability (40-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Quantum theory (81-XX) 19 Difference and functional equations (39-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Approximations and expansions (41-XX) 18 Information and communication theory, circuits (94-XX) 16 Ordinary differential equations (34-XX) 15 Mathematical logic and foundations (03-XX) 13 Integral transforms, operational calculus (44-XX) 13 Geometry (51-XX) 13 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 12 Commutative algebra (13-XX) 11 Category theory; homological algebra (18-XX) 11 Manifolds and cell complexes (57-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Field theory and polynomials (12-XX) 10 Operator theory (47-XX) 9 Statistics (62-XX) 8 General and overarching topics; collections (00-XX) 8 Nonassociative rings and algebras (17-XX) 7 Functional analysis (46-XX) 7 General topology (54-XX) 7 Systems theory; control (93-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 5 Measure and integration (28-XX) 4 General algebraic systems (08-XX) 4 Differential geometry (53-XX) 4 Mathematics education (97-XX) 3 History and biography (01-XX) 3 Integral equations (45-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Relativity and gravitational theory (83-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)