A388904 Decimal expansion of (128 * (4756+3363 * sqrt(2))^(1/4) * exp(Pi / 8) * Gamma(5/4)^4 * sin(Pi / 8)^4) / Pi^3.

8, 7, 4, 0, 1, 3, 8, 9, 2, 4, 3, 6, 0, 4, 2, 3, 6, 5, 2, 6, 7, 5, 1, 5, 1, 2, 6, 8, 0, 0, 1, 2, 0, 9, 2, 1, 4, 5, 3, 4, 8, 1, 3, 3, 5, 4, 0, 1, 1, 9, 9, 2, 0, 3, 2, 6, 5, 0, 4, 4, 7, 2, 2, 5, 1, 1, 5, 6, 2, 2, 0, 7, 4, 9, 8, 4, 8, 2, 5, 0, 1, 1, 9, 0, 7, 6, 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} A259790(k) / exp(k*Pi).

Example

0.87401389243604236526751512680012092145...

Mathematica

First[RealDigits[(128*(4756 + 3363*Sqrt[2])^(1/4)*Exp[Pi/8]*Gamma[5/4]^4*Sin[Pi/8]^4)/Pi^3, 10, 100]]

Prog

(PARI) (1/32) * exp(Pi / 8) * 2^(7/8) * gamma(5/8)^4 * (3+2 * sqrt(2)) * (2+2^(1/2))^(1/2) / Pi / gamma(7/8)^4

Crossrefs

Cf. A259790.

Sequence in context: A386464 A198561 A086253 * A225119 A094883 A131081

Adjacent sequences: A388901 A388902 A388903 * A388905 A388906 A388907

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved