A389035 Decimal expansion of (1/16) * Pi^4 / Gamma(3/4)^16.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A319307(k) / exp(k*Pi).

Example

0.23547173316739530942474630383836251266...

Mathematica

First[RealDigits[Pi^4/(16*Gamma[3/4]^16), 10, 100]]

Prog

(PARI) (1/16) * Pi^4 / gamma(3/4)^16

Crossrefs

Cf. A319307.

Sequence in context: A085180 A360209 A114750 * A234923 A145391 A371479

Adjacent sequences: A389032 A389033 A389034 * A389036 A389037 A389038

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved