A388363 Decimal expansion of 64 * exp(-2*Pi/3) * Gamma(3/4)^16 / Pi^4.

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

Offset

1,1

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} A023014(k) / exp(k*Pi).

Example

2.0918809984311852308574087311181612879...

Mathematica

First[RealDigits[(64*Exp[(-2*Pi)/3]*Gamma[3/4]^16)/Pi^4, 10, 100]]

Prog

(PARI) 64 * exp(-2/3 * Pi) * gamma(3/4)^16 / Pi^4

Crossrefs

Cf. A023014.

Sequence in context: A011125 A345364 A197583 * A021831 A248897 A021482

Adjacent sequences: A388360 A388361 A388362 * A388364 A388365 A388366

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved