A388386 Decimal expansion of (8 * exp((5 * Pi) / 8) * Gamma(5/4)^4) / ((4+3 * sqrt(2))^(1/8) * Pi^3).

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

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} A030189(k) / exp(k*Pi).

Example

0.95312887978373070743244856614701826774...

Mathematica

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

Prog

(PARI) (1/32) * exp(5/8 * Pi) * 2^(5/16) * gamma(5/8)^4 * (3+2 * sqrt(2)) / (2^(1/2) * (2+2^(1/2))^(1/2))^(1/2) / Pi / gamma(7/8)^4

Crossrefs

Cf. A030189.

Sequence in context: A195599 A388839 A021516 * A388678 A388387 A158270

Adjacent sequences: A388383 A388384 A388385 * A388387 A388388 A388389

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved