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Using matrices to derive identities for recursive sequences. (English) Zbl 1400.11031

Summary: Using matrix methods several identities and binomial summation formulas are obtained for a variety of recursive second and third order sequences. Some well-known summation identities will be extended to identities with negative subscripts.

MSC:

11B37 Recurrences
11B65 Binomial coefficients; factorials; \(q\)-identities
11Y55 Calculation of integer sequences
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