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Summing Through Triangle

Journal: International Journal of Mechanical and Production Engineering Research and Development (IJMPERD ) (Vol.10, No. 3)

Publication Date:

Authors : ;

Page : 3073-3080

Keywords : Sum of Powers of Natural Numbers; Faulhaber Triangle; Bernoulli Numbers; Rightmost Diagonal Entries; Harmonic Numbers;

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Abstract

Determination of sum of powers of natural numbers has been a quest for mathematicians from ancient times. The formulas for sum of powers of natural numbers are widely used in deep research problems occurring in number theory and combinatorics. In this paper, I discuss the construction of a triangle which provides the sums of powers of natural numbers almost immediately

Last modified: 2021-01-06 14:30:58