ALTERNATING SUMS OF THE POWERS OF FIBONACCI AND LUCAS NUMBERS

被引：11

作者：

Kilic, Emrah ^{[1
]}

Omur, Nese ^{[2
]}

Ulutas, Yucel Turker ^{[2
]}

机构：

[1] TOBB Econ & Technol Univ, Dept Math, TR-06560 Ankara, Turkey

[2] Kocaeli Univ, Dept Math, TR-41380 Izmit, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2011年 / 12卷 / 01期

关键词：

Fibonacci and Lucas numbers; alternating sums; Binet formulas;

D O I：

10.18514/MMN.2011.280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall consider alternating Melham's sums for Fibonacci and Lucas numbers of the form Sigma(n)(k=1) (-1)(k) F-2k+delta(2m+epsilon) and Sigma(n)(k=1) (-1)(k) L-2k+delta(2m+epsilon), where epsilon, delta is an element of {0, 1}.

引用

页码：87 / 103

页数：17

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