A388746 Decimal expansion of (1/2) * exp(Pi / 12) * sqrt(2 * Pi) / Gamma(3/4)^2.

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

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Formula

Empirical: Equals Sum_{k>=0} A208845(k) / exp(k*Pi).

Example

1.0844021676515234515649699384462156841...

Mathematica

First[RealDigits[8*Exp[Pi/12]*Sqrt[2*Pi]/Gamma[-1/4]^2, 10, 100]] (* Paolo Xausa, Sep 20 2025 *)

Prog

(PARI) (1/2) * exp(Pi / 12) * sqrt(2 * Pi) / gamma(3/4)^2

Crossrefs

Cf. A208845.

Sequence in context: A370000 A154211 A388459 * A388675 A019723 A384036

Adjacent sequences: A388743 A388744 A388745 * A388747 A388748 A388749

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved