A388923 Decimal expansion of (1/8) * exp(7*Pi/12) * Gamma(5/8) * sqrt(2) / Pi^(1/4) / Gamma(7/8).

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

Offset

1,3

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} A260599(k) / exp(k*Pi).

Example

1.0925518206975248973204060154220143782...

Mathematica

First[RealDigits[(2^(1/4)*Exp[(7*Pi)/12]*Gamma[5/4]*Sin[Pi/8])/Pi^(3/4), 10, 100]]

Prog

(PARI) (1/8) * exp(7/12 * Pi) * gamma(5/8) * sqrt(2) / Pi^(1/4) / gamma(7/8)

Crossrefs

Cf. A260599.

Sequence in context: A388449 A388244 A154838 * A389013 A388497 A388755

Adjacent sequences: A388920 A388921 A388922 * A388924 A388925 A388926

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved