ON THE RECIPROCAL SUMS OF SQUARE OF GENERALIZED BI-PERIODIC FIBONACCI NUMBERS

被引：8
|
作者：
Choi, Ginkyu [1 ]
Choo, Younseok [1 ]
机构：
[1] Hongik Univ, Dept Elect & Elect Engn, 2639 Sejong Ro, Sejong 30016, South Korea
来源：
MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 01期
关键词：
bi-periodic Fibonacci numbers; reciprocal sum; floor function;
D O I：
10.18514/MMN.2018.2390
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently Basbuk and Yazlik [1] proved identities related to the reciprocal sum of generalized bi-penodic Fibonacci numbers starting from 0 and 1, and raised an open question whether we can obtain similar results for the reciprocal sum of mth power (m >= 2) of the same numbers. In this paper we derive identities for the reciprocal sum of square of generalized biperiodic Fibonacci numbers with arbitrary initial conditions.
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页码：201 / 209
页数：9
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