A388792 Decimal expansion of (sqrt(2 * (-1+sqrt(2))) * exp((5 * Pi) / 8) * Gamma(5/4)^2) / Pi^(3/2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A226194(k) / exp(k*Pi).

Example

0.95670872509031686861918607738188857493...

Mathematica

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

Prog

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

Crossrefs

Cf. A226194.

Sequence in context: A388663 A388502 A388668 * A292824 A388932 A388671

Adjacent sequences: A388789 A388790 A388791 * A388793 A388794 A388795

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved