Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.3

Evaluations of Some Variant Euler Sums

Hongwei Chen
Department of Mathematics
Christopher Newport University
Newport News, VA 23606

Abstract: In this note we present some elementary methods for the summation of certain Euler sums with terms involving 1 + 1/3 + 1/5 + ... + 1/(2k-1).

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(Concerned with sequences A000045 A000984 A001008 and A005408 .)

Received February 9 2005; revised version received April 21 2006. Published in Journal of Integer Sequences May 18 2006.

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