Inaba, Yoshinari

Hyper-sums of powers of integers and the Akiyama-Tanigawa matrix

J. Integer Seq. 8(2), Art. 05.2.7, 6 p., electronic only (2005)

Summary

Summary: In this short essay, we consider hyper-sums of powers of integers, namely sums of power sums. We can obtain easily their formulae as polynomials by using formulae for ordinary sums of powers of integers. The coefficient of the first-degree term in each polynomial coincides with the matrix element of the Akiyama-Tanigawa matrix.

Mathematics Subject Classification

11Y55, 11B68

Keywords/Phrases

Bernoulli numbers, Stirling numbers, power sums

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