A recurrence relation with combinatorial identities

George Grossman; Aklilu Zeleke; Xinyun Zhu; Tomas Zdrahal

doi:10.12732/ijpam.v107i4.11

A recurrence relation with combinatorial identities

George Grossman, Aklilu Zeleke, Xinyun Zhu, Tomas Zdrahal

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, we consider a pair of recurrence relations whose simultaneous solution involves two parameters k, n. We also find generating function of the sequence. Identities related to the Fibonacci and Lucas numbers are given.

Original language	English
Pages (from-to)	939-948
Number of pages	10
Journal	International Journal of Pure and Applied Mathematics
Volume	107
Issue number	4
DOIs	https://doi.org/10.12732/ijpam.v107i4.11
State	Published - 2016

Keywords

Combinatorial Identities
Fibonacci And Lucas Numbers
Recurrence Relations

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10.12732/ijpam.v107i4.11

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title = "A recurrence relation with combinatorial identities",

abstract = "In the present paper, we consider a pair of recurrence relations whose simultaneous solution involves two parameters k, n. We also find generating function of the sequence. Identities related to the Fibonacci and Lucas numbers are given.",

keywords = "Combinatorial Identities, Fibonacci And Lucas Numbers, Recurrence Relations",

author = "George Grossman and Aklilu Zeleke and Xinyun Zhu and Tomas Zdrahal",

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year = "2016",

doi = "10.12732/ijpam.v107i4.11",

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AU - Grossman, George

AU - Zeleke, Aklilu

AU - Zhu, Xinyun

AU - Zdrahal, Tomas

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AB - In the present paper, we consider a pair of recurrence relations whose simultaneous solution involves two parameters k, n. We also find generating function of the sequence. Identities related to the Fibonacci and Lucas numbers are given.

KW - Combinatorial Identities

KW - Fibonacci And Lucas Numbers

KW - Recurrence Relations

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DO - 10.12732/ijpam.v107i4.11

M3 - Article

AN - SCOPUS:84969545656

SN - 1311-8080

VL - 107

SP - 939

EP - 948

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 4

ER -

A recurrence relation with combinatorial identities

Abstract

Keywords

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