A258895 Decimal expansion of a constant related to A063902 and A258662.

4, 5, 2, 1, 0, 4, 2, 9, 9, 1, 8, 3, 4, 2, 0, 5, 2, 8, 8, 4, 1, 2, 8, 0, 8, 5, 5, 3, 6, 1, 0, 3, 2, 7, 9, 4, 0, 5, 5, 2, 5, 4, 5, 1, 8, 2, 2, 8, 1, 8, 5, 1, 3, 9, 4, 7, 3, 4, 7, 3, 1, 3, 3, 0, 6, 3, 5, 1, 4, 3, 3, 3, 8, 7, 5, 8, 9, 3, 8, 5, 2, 6, 5, 9, 1, 6, 5, 0, 7, 6, 0, 8, 9, 7, 5, 6, 0, 9, 3, 8, 8, 5, 6, 1, 8, 8

Offset: 0

Author

Vaclav Kotesovec, Jun 14 2015

Keywords

• nonn
• cons

Examples

			0.4521042991834205288412808553610327940552545182281851394734731330635...
		

Crossrefs

Cf. A063902, A258662.

Programs

Maple

evalf(32*Pi / (GAMMA(1/6) * GAMMA(1/3))^2, 118);
evalf(2^(17/3) * Pi^2 / (3 * GAMMA(1/3)^6), 118);

Mathematica

RealDigits[32*Pi/(Gamma[1/6]*Gamma[1/3])^2,10,120][[1]]

Formula

Equals limit n->infinity (A063902(n)/(n!)^2)^(1/n).

Equals 32*Pi / (Gamma(1/6) * Gamma(1/3))^2.

Equals 2^(17/3) * Pi^2 / (3 * Gamma(1/3)^6).