CHOSUN

A Ratio Variation of Nicomachus's Theorem

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Author(s)
Seon-Hong Kim
Issued Date
2019
Keyword
Nicomachus' Theorem Triangular Number Sum of Integer Parts
Abstract
In this paper, we study a ratio variation of Nicomachus' theorem by computing ${\sum\limits_{k=1}^{n}}[rk]$ and ${\sum\limits_{k=1}^{n}}[rk]^3$, where r is a rational number.
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