[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.13160/ricns.2019.12.2.44

A Ratio Variation of Nicomachus's Theorem

Kim, Seon-Hong (Department of Mathematics, Sookmyung Women's University)

Publication Information

Journal of Integrative Natural Science / v.12, no.2, 2019 , pp. 44-46 More about this Journal

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.

Keywords

Nicomachus' Theorem; Triangular Number; Sum of Integer Parts;

Citations & Related Records

Reference

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2	S. O. Warnaar, "On the q-analogue of the sum of cubes", Electron. J. Combin. 11(1), Note 13, 2 pages, 2004.