A388167 Decimal expansion of (1/2) * exp(Pi / 4) * Pi^(3/4) * 2^(3/4) / Gamma(3/4)^3.

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

Offset

1,1

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} A005876(k) / exp(k*Pi).

Example

2.3650896503510663608725163354789266517...

Mathematica

First[RealDigits[(-32*(2*Pi)^(3/4)*Exp[Pi/4])/Gamma[-1/4]^3, 10, 100]]

Prog

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

Crossrefs

Cf. A005876.

Sequence in context: A358940 A136315 A011159 * A359623 A389448 A091556

Adjacent sequences: A388164 A388165 A388166 * A388168 A388169 A388170

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved