A389041 Decimal expansion of 8 * Gamma(3/4)^12 / Pi^3.

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

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} A319554(k) / exp(k*Pi).

Example

2.9583252115770034504360765931666919963...

Mathematica

First[RealDigits[(8*Gamma[3/4]^12)/Pi^3, 10, 100]]

Prog

(PARI) 8 * gamma(3/4)^12 / Pi^3

Crossrefs

Cf. A319554.

Sequence in context: A339925 A389490 A171052 * A021342 A069857 A382595

Adjacent sequences: A389038 A389039 A389040 * A389042 A389043 A389044

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved