Journal of Integer Sequences, Vol. 14 (2011), Article 11.2.5

Formulas for Odd Zeta Values and Powers of π

Marc Chamberland and Patrick Lopatto
Department of Mathematics and Statistics
Grinnell College
Grinnell, IA 50112


Plouffe conjectured fast converging series formulas for π2n+1 and ζ(2n+1) for small values of n. We find the general pattern for all integer values of n and offer a proof.

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Received January 24 2011; revised version received February 7 2011. Published in Journal of Integer Sequences, February 20 2011.

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