A388394 Decimal expansion of (1/4) * exp(3*Pi/8) * sqrt(Pi) * 2^(1/8) / Gamma(3/4)^2.

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

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} A033761(k) / exp(k*Pi).

Example

1.0452429240513094500141402026876161886...

Mathematica

First[RealDigits[(4*2^(1/8)*Sqrt[Pi]*Exp[(3*Pi)/8])/Gamma[-1/4]^2, 10, 100]]

Prog

(PARI) (1/4) * exp(3/8 * Pi) * sqrt(Pi) * 2^(1/8) / gamma(3/4)^2

Crossrefs

Cf. A033761.

Sequence in context: A328623 A225901 A354469 * A030322 A388395 A388452

Adjacent sequences: A388391 A388392 A388393 * A388395 A388396 A388397

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved