A389033 Decimal expansion of 768 * exp(-2 * Pi) * Gamma(3/4)^4 / Pi.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A319294(k) / exp(k*Pi).

Example

1.0294228916475327815165518408023181429...

Mathematica

First[RealDigits[(768*Exp[-2*Pi]*Gamma[3/4]^4)/Pi, 10, 100]]

Prog

(PARI) 768 * exp(-2 * Pi) * gamma(3/4)^4 / Pi

Crossrefs

Cf. A319294.

Sequence in context: A161934 A021038 A257818 * A195485 A336802 A011067

Adjacent sequences: A389030 A389031 A389032 * A389034 A389035 A389036

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved