A388404 Decimal expansion of (1/68719476736) * exp(4 * Pi) * Pi^24 / Gamma(3/4)^96.

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

Offset

0,4

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A035150(k) / exp(k*Pi).

Example

0.01193378336483566879415770625165641750225829696245553361317272473093903758....

Mathematica

First[RealDigits[Exp[4*Pi]*Pi^24/(2^36*Gamma[3/4]^96), 10, 100, -1]] (* Paolo Xausa, Sep 17 2025 *)

Prog

(PARI) (1/68719476736) * exp(4 * Pi) * Pi^24 / gamma(3/4)^96

Crossrefs

Cf. A035150.

Sequence in context: A272408 A177910 A198416 * A394999 A097902 A139425

Adjacent sequences: A388401 A388402 A388403 * A388405 A388406 A388407

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved