A388464 Decimal expansion of 2048 * exp(-5*Pi/4) * 2^(1/4) * Gamma(3/4)^30 / Pi^(15/2).

3, 9, 9, 0, 3, 1, 1, 7, 6, 0, 7, 6, 9, 2, 9, 8, 6, 5, 9, 8, 0, 4, 8, 8, 0, 3, 1, 6, 3, 2, 5, 5, 7, 0, 7, 2, 7, 7, 7, 0, 7, 9, 1, 6, 8, 9, 8, 3, 1, 6, 1, 6, 8, 0, 8, 8, 4, 0, 4, 9, 7, 9, 3, 1, 4, 0, 7, 4, 5, 6, 8, 6, 9, 2, 0, 1, 4, 7, 0, 5, 0, 0, 3, 6, 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} A082556(k) / exp(k*Pi).

Example

3.9903117607692986598048803163255707280...

Mathematica

First[RealDigits[(2048*2^(1/4)*Exp[(-5*Pi)/4]*Gamma[3/4]^30)/Pi^(15/2), 10, 100]]

Prog

(PARI) 2048 * exp(-5/4 * Pi) * 2^(1/4) * gamma(3/4)^30 / Pi^(15/2)

Crossrefs

Cf. A082556.

Sequence in context: A128686 A161574 A103555 * A360178 A157349 A159811

Adjacent sequences: A388461 A388462 A388463 * A388465 A388466 A388467

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved