A388405 Decimal expansion of (1/35184372088832) * exp(5 * Pi) * Pi^30 / Gamma(3/4)^120.

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

Offset

0,3

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} A035190(k) / exp(k*Pi).

Example

0.00394432495449674738537683233618745104886622878019127725082306255465039134....

Mathematica

First[RealDigits[Exp[5*Pi]*Pi^30/(2^45*Gamma[3/4]^120), 10, 100, -1]] (* Paolo Xausa, Sep 17 2025 *)

Prog

(PARI) (1/35184372088832) * exp(5 * Pi) * Pi^30 / gamma(3/4)^120

Crossrefs

Cf. A035190.

Sequence in context: A243711 A247553 A378976 * A307238 A161773 A212992

Adjacent sequences: A388402 A388403 A388404 * A388406 A388407 A388408

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved