The Hadamard product and recursively defined sequences

2019/11/04 by Sergei Kazenas, Kazenas, Sergei
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1911.01175

5 pages

arxiv created 2019/11/04 · arxiv updated 2019/11/05

Abstract

In this paper the approach to obtaining nonrecurrent formulas for some recursively defined sequences is illustrated. The most interesting result in the paper is the formula for the solution of quadratic map-like recurrence. Also, some formulas for the solutions of linear difference equations with variable coefficients are obtained. At the end of the paper, some integer sequences associated with a quadratic map are considered.

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