A389040 Decimal expansion of 4 * Gamma(3/4)^8 / Pi^2.

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

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} A319553(k) / exp(k*Pi).

Example

2.0607751550286463163568945962656288414...

Mathematica

First[RealDigits[(4*Gamma[3/4]^8)/Pi^2, 10, 100]]

Prog

(PARI) 4 * gamma(3/4)^8 / Pi^2

Crossrefs

Cf. A319553.

Sequence in context: A178636 A353276 A046520 * A146076 A157195 A019781

Adjacent sequences: A389037 A389038 A389039 * A389041 A389042 A389043

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved