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Hyper-Sums of Powers of Integers and the Akiyama-Tanigawa Matrix
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Yoshinari Inaba

Toba Senior High School

Nishikujo, Minami-ku

Kyoto 601-8449

Japan

**Abstract:**
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.

(Concerned with sequences
A008275 and
A008277
.)

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Received January 5 2005;
revised version received March 9 2005; April 1 2005; April 29 2005.
Published in *Journal of Integer Sequences* May 17 2005.

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