A388965 Decimal expansion of (32 * (2+sqrt(2)) * exp(-Pi/4) * Gamma(5/4)^4) / Pi^3.

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

Offset

1,3

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A280339(k) / exp(k*Pi).

Example

1.08437947773330455160671827584285626259104084490472378196294998263293677677....

Mathematica

First[RealDigits[(32*(2 + Sqrt[2])*Exp[-1/4*Pi]*Gamma[5/4]^4)/Pi^3, 10, 100]]

Prog

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

Crossrefs

Cf. A280339.

Sequence in context: A091475 A385491 A197482 * A292529 A370000 A154211

Adjacent sequences: A388962 A388963 A388964 * A388966 A388967 A388968

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 21 2025

Status

approved