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

Neşe Ömür, Cemile Duygu Şener

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}}.

Keywords


Binomial sums, generalized Fibonacci numbers, recurrence relation

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