A note on a family of alternating Fibonacci sums

被引：0

作者：

Frontczak, Robert ^{[1
]}

机构：

[1] Landesbank Baden Wuerttemberg, Hauptbahnhof 2, D-70173 Stuttgart, Germany

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2016年 / 22卷 / 02期

关键词：

Fibonacci number; Alternating sums; Reciprocals;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we consider a family of finite and infinite alternating sums containing products of Fibonacci numbers. We derive closed-form expressions for this family of sums. As a consequence of this result we establish new algebraic relationships between certain alternating sums of reciprocals of products of Fibonacci numbers with integer power.

引用

页码：64 / 71

页数：8

共 12 条

[1] Andre-Jeannin R., 1990, FIBONACCI QUART, V28, P223
[2] AndreJeannin R, 1997, FIBONACCI QUART, V35, P68
[3] Brousseau Bro. A., 1969, FIBONACCI QUART, V7, P143
[4] Carlitz L., 1971, FIBONACCI QUART, V9, P449
[5] Frontczak R., 2015, INT J CONT MATH SCI, V10, P363
[6] GOOD IJ, 1994, FIBONACCI QUART, V32, P284
[7] Grimaldi R. P., 2012, FIBONACCI CATALAN NU
[8] HORADAM AF, 1988, FIBONACCI QUART, V26, P98
[9] Melham RS, 2003, FIBONACCI QUART, V41, P59
[10] Melham RS, 2002, FIBONACCI QUART, V40, P71

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