On the Bi-Periodic Mersenne Sequence

Gül ÖZKAN KIZILIRMAK, D. Taşcı
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Abstract

In this paper, the bi-periodic mersenne sequence, which is a generalization of the mersenne sequence, is defined. The characteristic function, generating function and Binet's formula for this sequence are obtained. Also, using Binet's formula, some important identities and properties for this sequence are presented.
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关于双周期Mersenne序列
本文定义了双周期mersenne序列,它是mersenne序列的推广。得到了该序列的特征函数、生成函数和Binet公式。同时,利用Binet公式,给出了该序列的一些重要的恒等式和性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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