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arXiv · 1706.08469

Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers

Kunle Adegoke
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Abstract

We obtain explicit factored closed-form expressions for Fibonacci and Lucas sums of the form \mbox{$\sum_{k = 1}^n {F_{2rk}^3 }$} and \mbox{$\sum_{k = 1}^n {L_{2rk}^3 }$}, where $r$~and~$n$ are integers.

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Kunle Adegoke. 2017-06-12. Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers. https://arxiv.org/abs/1706.08469

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