A388955 Decimal expansion of (1/16) * exp(3*Pi/8) * 2^(1/8) * Gamma(5/8)^4 * (3+2 * sqrt(2)) * (2-sqrt(2))^(1/2) / Pi / Gamma(7/8)^4.

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

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} A275372(k) / exp(k*Pi).

Example

0.94426575087316360608067988324448615419...

Mathematica

First[RealDigits[(Sqrt[10 + 7*Sqrt[2]]*Exp[(3*Pi)/8]*Gamma[1/4]^4*Sin[Pi/8]^4)/(2^(7/8)*Pi^3), 10, 100]]

Prog

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

Crossrefs

Cf. A275372.

Sequence in context: A193712 A382573 A389029 * A249600 A375274 A378331

Adjacent sequences: A388952 A388953 A388954 * A388956 A388957 A388958

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved