Sums of Consecutive Powers as a Linear Combination of Products of Two Figurate Numbers
Department of Mathematics
The Pennsylvania State University
76 University Drive
Hazleton, PA 18202
We derive two formulae expressing the pth power of an integer
n as a linear combination of products of two figurate numbers of
dimensions not exceeding p. Then we derive two formulae for the
sum of the pth powers of the first n consecutive natural
numbers as a linear combination of products of two figurate numbers of
dimensions not exceeding p.
Full version: pdf,
(Concerned with sequences
Received July 25 2021; revised version received, March 6 2022.
Published in Journal of Integer Sequences,
March 6 2022.
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