Formulas for Odd Zeta Values and Powers of π
Marc Chamberland and Patrick Lopatto
Department of Mathematics and Statistics
Grinnell, IA 50112
Plouffe conjectured fast converging series
formulas for π2n+1 and
for small values of n. We find the general pattern
for all integer values of n and offer a proof.
Full version: pdf,
Received January 24 2011;
revised version received February 7 2011.
Published in Journal of Integer Sequences, February 20 2011.
Journal of Integer Sequences home page