MMN-2390
On the reciprocal sums of square of generalized bi-periodic Fibonacci numbers
Ginkyu Choi; Younseok Choo;Abstract
Recently Basbuk and Yazlik proved identities related to the reciprocal sum of generalized bi-periodic 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>1) of the same numbers.
In this paper we derive identities for the reciprocal sum of square of generalized bi-periodic Fibonacci numbers with arbitrary initial conditions.
Vol. 19 (2018), No. 1, pp. 201-209
DOI: 10.18514/MMN.2018.2390