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

0,1

Links

Table of n, a(n) for n=0..105.

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).

Example

0.4521042991834205288412808553610327940552545182281851394734731330635...

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]]

Crossrefs

Cf. A063902, A258662.

Sequence in context: A113095 A157784 A274615 * A156890 A320480 A163531

Adjacent sequences: A258892 A258893 A258894 * A258896 A258897 A258898

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jun 14 2015

Status

approved