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arXiv · 2501.06509

On an Identity by Bruckman and Good

Hongshen Chua
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Abstract

This paper introduces a variation on an identity by Bruckman and Good. Using this identity, we are able to derive various well-known sums involving reciprocals of Fibonacci and Lucas numbers, including the case when the indices form an arithmetic progression. Moreover, we provide generalizations of the Millin series.

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Hongshen Chua. 2025-01-11. On an Identity by Bruckman and Good. https://arxiv.org/abs/2501.06509

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