A388964 Decimal expansion of (32*2^(1/4) * (1+sqrt(2)) * exp(-Pi/4) * Gamma(5/4)^4) / Pi^3.

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

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} A279955(k) / exp(k*Pi).

Example

0.91185081560063096721470775592393132896...

Mathematica

First[RealDigits[(32*2^(1/4)*(1 + Sqrt[2])*Exp[-1/4*Pi]*Gamma[5/4]^4)/Pi^3, 10, 100]]

Prog

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

Crossrefs

Cf. A279955.

Sequence in context: A085660 A195703 A174948 * A388101 A388463 A092578

Adjacent sequences: A388961 A388962 A388963 * A388965 A388966 A388967

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved