A388806 Decimal expansion of (1/8) * exp(Pi / 4) * Pi^2*2^(1/4) / Gamma(3/4)^8.

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

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} A227695(k) / exp(k*Pi).

Example

0.63283571600874628630303301033338013970...

Mathematica

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

Prog

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

Crossrefs

Cf. A227695.

Sequence in context: A283443 A266263 A177707 * A076214 A011488 A021162

Adjacent sequences: A388803 A388804 A388805 * A388807 A388808 A388809

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved