A388639 Decimal expansion of (1/4) * exp(Pi / 4) * Pi * sqrt(2) / Gamma(3/4)^4.

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

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Formula

Empirical: Equals Sum_{k>=0} A138515(k) / exp(k*Pi).

Example

1.08034828221483944095134282935628525...

Mathematica

First[RealDigits[Exp[Pi/4]*Pi*Sqrt[2]/(4*Gamma[3/4]^4), 10, 100]] (* Paolo Xausa, Sep 19 2025 *)

Prog

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

Crossrefs

Cf. A138515.

Sequence in context: A388685 A388824 A388861 * A388940 A388611 A388802

Adjacent sequences: A388636 A388637 A388638 * A388640 A388641 A388642

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved