OFFSET
0,1
COMMENTS
In general, for s>0, Product_{k>=1} (1 + 1/A002144(k)^(2*s+1))/(1 - 1/A002144(k)^(2*s+1)) = Pi^(2*s+1) * A000364(s) * zeta(2*s+1) / ((2^(2*s+2) + 2) * (2*s)! * zeta(4*s+2)). - Dimitris Valianatos, May 01 2020
REFERENCES
B. C. Berndt, Ramanujan's notebook part IV, Springer-Verlag, 1994, p. 64-65.
LINKS
Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants, Feb 18 1996, p. 7-8.
R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli, arXiv:1008.2547 [math.NT], 2010-2015, p. 26 (case 4 1 5 = 1/A334450).
EXAMPLE
0.999676527079626662018246180873083701500751574379554430568432840424975981921219...
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Apr 30 2020
EXTENSIONS
More digits from Vaclav Kotesovec, Jun 27 2020
STATUS
approved