A388873 Decimal expansion of (1/8) * 2^(15/16) * Gamma(5/8)^2 * (2+sqrt(2)) / (2-sqrt(2))^(1/4) / sqrt(Pi) / Gamma(7/8)^2.

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

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} A246950(k) / exp(k*Pi).

Example

0.91357276622966833993580677218281819780...

Mathematica

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

Prog

(PARI) (1/8) * 2^(15/16) * gamma(5/8)^2 * (2+2^(1/2)) / (2-2^(1/2))^(1/4) / sqrt(Pi) / gamma(7/8)^2

Crossrefs

Cf. A246950.

Sequence in context: A388674 A388862 A388560 * A388661 A388480 A248557

Adjacent sequences: A388870 A388871 A388872 * A388874 A388875 A388876

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved