A388487 Decimal expansion of (16 * (2+sqrt(2)) * Gamma(5/4)^4) / Pi^3.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A097057(k) / exp(k*Pi).

Example

1.1891739379710824544782999880985346439...

Mathematica

First[RealDigits[(16*(2 + Sqrt[2])*Gamma[5/4]^4)/Pi^3, 10, 100]]

Prog

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

Crossrefs

Cf. A097057.

Sequence in context: A384474 A154904 A155553 * A302765 A053463 A388440

Adjacent sequences: A388484 A388485 A388486 * A388488 A388489 A388490

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved