Patibandla Chanakya, Putla Harsha
Published 2018-08-27Version 1
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.
Arithmetic compactifications of natural numbers and its applications
Density of sets of natural numbers and the Levy group
On some generalizations of the sum of powers of natural numbers
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