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A119539 Coefficients of Pi^(2*n+1) in a certain integer relation involving Ramanujan exponential-type sums. 0

%I #23 Jun 23 2024 10:35:31

%S 1,1,13,164,32072,76192,219824,187296448,3352363136,71277685379584,

%T 404527384477184,2296123608713216,61937104190025728,

%U 8616632990203113816064,10003222534527122132992

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

%H Simon Plouffe, <a href="https://arxiv.org/abs/1101.6066">Identities inspired by the Ramanujan Notebooks, second series</a>Identities inspired by the Ramanujan Notebooks, Second series, 2011.

%H Linas Vepstas, <a href="http://www.linas.org/math/plouffe-ram.pdf">On Plouffe's Ramanujan Identities</a>, 2006-2010.

%H Linas Vepstas, <a href="https://arxiv.org/abs/math/0609775">On Plouffe's Ramanujan Identities</a>, arXiv:0609775 [math.NT], 2006-2010.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RiemannZetaFunction.html">Riemann Zeta Function</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Zeta_constants">Zeta Constants</a>.

%K nonn

%O 3,3

%A _Simon Plouffe_, May 28 2006

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Last modified August 31 10:12 EDT 2024. Contains 375560 sequences. (Running on oeis4.)