A255939 Decimal expansion of a constant related to A000294.

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, 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, 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

Offset: 0

Author

Vaclav Kotesovec, Mar 11 2015

Keywords

• nonn
• cons

Comments

The unknown constant C from articles by Finch (p.2), resp. c3(m) by Mustonen and Rajesh (p.2).

Examples

			0.213595160470700180128341262729125127820323477061218341828788505264420561...
		

Links

• Steven Finch, Integer Partitions, September 22, 2004, page 2. [Cached copy, with permission of the author].
• Ville Mustonen and R. Rajesh, Numerical Estimation of the Asymptotic Behaviour of Solid Partitions of an Integer, J. Phys. A 36 (2003), no. 24, 6651-6659.

Crossrefs

Cf. A000294, A002117, A074962.

Programs

Mathematica

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]]

Formula

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.