A389057 Decimal expansion of (1/64) / Pi^(3/2) / Gamma(3/4)^2.

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

Offset

0,4

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} A347801(k) / exp(k*Pi).

Example

0.0018686485405221383684606569723055848459...

Mathematica

First[RealDigits[1/(64*Pi^(3/2)*Gamma[3/4]^2), 10, 100, -1]]

Prog

(PARI) (1/64) / Pi^(3/2) / gamma(3/4)^2

Crossrefs

Cf. A347801.

Sequence in context: A389953 A188655 A282152 * A191909 A247559 A246768

Adjacent sequences: A389054 A389055 A389056 * A389058 A389059 A389060

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved