A388791 Decimal expansion of (2*2^(1/4) * sqrt((2+sqrt(2)) / Pi) * exp(Pi / 8) * Gamma(5/4)^2) / Pi.

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

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} A226192(k) / exp(k*Pi).

Example

0.96027857380350583505129563922108218694...

Mathematica

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

Prog

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

Crossrefs

Cf. A226192.

Sequence in context: A263177 A388644 A154161 * A388469 A388637 A380737

Adjacent sequences: A388788 A388789 A388790 * A388792 A388793 A388794

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved