A119539 Coefficients of Pi^(2*n+1) in a certain integer relation involving Ramanujan exponential-type sums.

1, 1, 13, 164, 32072, 76192, 219824, 187296448, 3352363136, 71277685379584, 404527384477184, 2296123608713216, 61937104190025728, 8616632990203113816064, 10003222534527122132992

Offset

3,3

Links

Table of n, a(n) for n=3..17.

Simon Plouffe, Identities inspired by the Ramanujan Notebooks, second seriesIdentities inspired by the Ramanujan Notebooks, Second series, 2011.

Linas Vepstas, On Plouffe's Ramanujan Identities, 2006-2010.

Linas Vepstas, On Plouffe's Ramanujan Identities, arXiv:0609775 [math.NT], 2006-2010.

Eric Weisstein's World of Mathematics, Riemann Zeta Function.

Wikipedia, Zeta Constants.

Crossrefs

Sequence in context: A090134 A087400 A012828 * A277412 A368657 A171318

Adjacent sequences: A119536 A119537 A119538 * A119540 A119541 A119542

Keyword

nonn

Author

Simon Plouffe, May 28 2006

Status

approved