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Two determinants with Fibonacci and Lucas entries. (English) Zbl 1193.11026
Summary: We study two families of determinants the entries of which are linear functions of Fibonacci or Lucas numbers. The results are rather simple, and the two determinants only differ by a constant.
MSC:
11C20 Matrices, determinants in number theory
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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References:
[1] Mahon, Br.J., Elementary problem B-1016, Fibonacci quart., 44, 182, (2006)
[2] Koshy, T., Fibonacci and Lucas numbers with applications, (2001), Wiley-Interscience NY · Zbl 0984.11010
[3] Vajda, S., Fibonacci & Lucas numbers, and the Golden section: theory and applications, (1989), Ellis Horwood Chichester · Zbl 0695.10001
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