A388495 Decimal expansion of (sqrt((2-sqrt(2)) * Pi) * exp((11 * Pi) / 24) * Gamma(3/4)^2) / (2^(1/8) * Pi).

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

Offset

1,1

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} A100535(k) / exp(k*Pi).

Example

2.5094163516800144495466823063909056297...

Mathematica

First[RealDigits[(Sqrt[(2 - Sqrt[2])*Pi]*Exp[(11*Pi)/24]*Gamma[3/4]^2)/(2^(1/8)*Pi), 10, 100]]

Prog

(PARI) 2 * exp(11/24 * Pi) * 2^(3/8) * sqrt(Pi) * gamma(7/8)^2 * (2-2^(1/2))^(1/2) / (2+2^(1/2)) / gamma(5/8)^2

Crossrefs

Cf. A100535.

Sequence in context: A308715 A201745 A192042 * A391953 A214119 A088307

Adjacent sequences: A388492 A388493 A388494 * A388496 A388497 A388498

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved