A388601 Decimal expansion of (1/2) * exp(-Pi/24) * Pi^(1/4) * 2^(7/8) * sqrt(2) * (3^(1/2)-1) / Gamma(3/4).

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A132970(k) / exp(k*Pi).

Example

0.90486154191941164249180057247220010202106869431469...

Mathematica

First[RealDigits[(2^(3/8)*(Sqrt[3] - 1)*Pi^(1/4))/(Exp[Pi/24]*Gamma[3/4]), 10, 100]] (* Paolo Xausa, Jan 07 2026 *)

Prog

(PARI) (1/2) * exp(-1/24 * Pi) * Pi^(1/4) * 2^(7/8) * sqrt(2) * (3^(1/2)-1) / gamma(3/4)

Crossrefs

Cf. A132970.

Sequence in context: A021529 A196398 A388581 * A388400 A388391 A389042

Adjacent sequences: A388598 A388599 A388600 * A388602 A388603 A388604

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved