A388161 Decimal expansion of (5/8) * Pi^3 / Gamma(3/4)^12.

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A004533(k) / exp(k*Pi).

Example

1.6901454851661270662511309594175000982...

Mathematica

First[RealDigits[(5*Pi^3)/(8*Gamma[3/4]^12), 10, 100]]

Prog

(PARI) 5/8 * Pi^3 / gamma(3/4)^12

Crossrefs

Cf. A004533.

Sequence in context: A373702 A331480 A196762 * A078196 A198118 A195102

Adjacent sequences: A388158 A388159 A388160 * A388162 A388163 A388164

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved