A388577 Decimal expansion of (2 * sqrt(4-2 * sqrt(2)) * exp(Pi) * Gamma(5/4)^4) / Pi^3.

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

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} A124340(k) / exp(k*Pi).

Example

1.0905001266778593278312402160017211483...

Mathematica

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

Prog

(PARI) (1/128) * exp(Pi) * sqrt(2) * gamma(5/8)^4 * (3+2 * sqrt(2)) * (2-2^(1/2))^(1/2) / Pi / gamma(7/8)^4

Crossrefs

Cf. A124340.

Sequence in context: A388435 A361061 A301865 * A370705 A388917 A388471

Adjacent sequences: A388574 A388575 A388576 * A388578 A388579 A388580

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved