%I #12 Jun 03 2017 15:34:47
%S 2,1,3,5,9,5,1,6,0,4,7,0,7,0,0,1,8,0,1,2,8,3,4,1,2,6,2,7,2,9,1,2,5,1,
%T 2,7,8,2,0,3,2,3,4,7,7,0,6,1,2,1,8,3,4,1,8,2,8,7,8,8,5,0,5,2,6,4,4,2,
%U 0,5,6,1,0,3,4,0,4,8,4,6,8,8,1,8,7,7,1,1,8,7,2,6,0,8,6,7,0,6,2,7,2,4,2,9,7,4
%N Decimal expansion of a constant related to A000294.
%C The unknown constant C from articles by Finch (p.2), resp. c3(m) by Mustonen and Rajesh (p.2).
%H Steven Finch, <a href="/A000219/a000219_1.pdf">Integer Partitions</a>, September 22, 2004, page 2. [Cached copy, with permission of the author].
%H Ville Mustonen and R. Rajesh, <a href="http://arXiv.org/abs/cond-mat/0303607">Numerical Estimation of the Asymptotic Behaviour of Solid Partitions of an Integer</a>, J. Phys. A 36 (2003), no. 24, 6651-6659.
%F Equals Pi^(1/24) * exp(1/24 - Zeta(3) / (8*Pi^2) + 75*Zeta(3)^3 / (2*Pi^8)) / (A^(1/2) * 2^(157/96) * 15^(13/96)), where A = A074962 is the Glaisher-Kinkelin constant and Zeta(3) = A002117.
%e 0.213595160470700180128341262729125127820323477061218341828788505264420561...
%t RealDigits[Pi^(1/24) * E^(1/24 - Zeta[3]/(8*Pi^2) + 75*Zeta[3]^3/(2*Pi^8)) / (Glaisher^(1/2)*2^(157/96)*15^(13/96)), 10, 120][[1]]
%Y Cf. A000294, A002117, A074962.
%K nonn,cons
%O 0,1
%A _Vaclav Kotesovec_, Mar 11 2015