Iterative Procedure for Hypersums of Powers of Integers
José Luis Cereceda
Distrito Telefónica, Edificio Este 1
Relying on a recurrence relation for the hypersums of powers of
integers put forward recently, we develop an iterative procedure which
allows us to express a hypersum of arbitrary order in terms of ordinary
(zeroth order) power sums. Then, we derive the coefficients of the
hypersum polynomial as a function of the Bernoulli numbers and the
Stirling numbers of the first kind.
Full version: pdf,
(Concerned with sequences
Received October 14 2013;
revised versions received January 19 2014; March 17 2014.
Published in Journal of Integer Sequences, March 23 2014.
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