On Identities for Sequences of Binomial Sums with the Terms of Sequences {u_kn} and {v_kn}

Authors

  • Nese Omur Kocaeli University
  • Cemile Duygu Åžener

Keywords:

Binomial sums, generalized Fibonacci numbers, recurrence relation

Abstract

In this paper, considering a technique used in <cite>4</cite>, and the sequences {u_{kn}} and {v_{kn}}, we derive the sequences {g_{kn}} and {h_{kn}}. Also with the aid of generating matrix for the terms of these sequences  for a positive integer k, we derive some conbinatorial identities for the sequence {g_{kn}}.

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Published

2017-04-20

Issue

Vol. 10 No. 3: (April 2017)

Section

Number Theory

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On Identities for Sequences of Binomial Sums with the Terms of Sequences {u_kn} and {v_kn}. (2017). European Journal of Pure and Applied Mathematics, 10(3), 506-515. https://ejpam.com/index.php/ejpam/article/view/2979