A388625 Decimal expansion of (8*2^(1/4) * (-1+sqrt(2)) * exp((3 * Pi) / 4) * Gamma(5/4)^4) / Pi^3.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A135467(k) / exp(k*Pi).

Example

0.90508378157349636850227076192997037536...

Mathematica

First[RealDigits[(8*2^(1/4)*(-1 + Sqrt[2])*Exp[(3*Pi)/4]*Gamma[5/4]^4)/Pi^3, 10, 100]]

Prog

(PARI) (1/64) * exp(3/4 * Pi) * 2^(3/4) * gamma(5/8)^4 * (2+2^(1/2)) / Pi / gamma(7/8)^4

Crossrefs

Cf. A135467.

Sequence in context: A388471 A309605 A010770 * A021921 A388156 A374751

Adjacent sequences: A388622 A388623 A388624 * A388626 A388627 A388628

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved