Generalized Nested Summation of Powers of Natural Numbers
Number Theory
2019-06-27 v4
Abstract
In this paper, we provide a general framework for obtaining the formula for nested summation of powers of natural numbers. We define a special triangular array of numbers from which we can obtain the formula for nested summation of natural numbers at any particular power. Binomial coefficients play a key role in nesting. Our framework is very simple to understand.
Cite
@article{arxiv.1808.08699,
title = {Generalized Nested Summation of Powers of Natural Numbers},
author = {Patibandla Chanakya and Putla Harsha},
journal= {arXiv preprint arXiv:1808.08699},
year = {2019}
}
Comments
Small typo