A388401 Decimal expansion of (1/4) * Pi^2 / Gamma(3/4)^8.

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

Offset

0,1

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} A035016(k) / exp(k*Pi).

Example

0.48525429742290310748747400119962309581...

Mathematica

First[RealDigits[Pi^2/(4*Gamma[3/4]^8), 10, 100]] (* Paolo Xausa, Sep 17 2025 *)

Prog

(PARI) (1/4) * Pi^2 / gamma(3/4)^8

Crossrefs

Cf. A035016.

Sequence in context: A356636 A334957 A391480 * A154912 A133921 A021210

Adjacent sequences: A388398 A388399 A388400 * A388402 A388403 A388404

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved