A388389 Decimal expansion of (1/16) * exp(Pi / 2) * Pi^2 * sqrt(2) / Gamma(3/4)^8.

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

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} A030211(k) / exp(k*Pi).

Example

0.82530138441469599315517033666581272305...

Mathematica

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

Prog

(PARI) (1/16) * exp(Pi / 2) * Pi^2 * sqrt(2) / gamma(3/4)^8

Crossrefs

Cf. A030211.

Sequence in context: A284157 A201583 A243370 * A179048 A384144 A388437

Adjacent sequences: A388386 A388387 A388388 * A388390 A388391 A388392

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved