A388633 Decimal expansion of (1/64) * exp(Pi) * Pi^(3/2) * sqrt(2) / Gamma(3/4)^6.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A138501(k) / exp(k*Pi).

Example

0.84087882038363779311126789643670236518...

Mathematica

First[RealDigits[(64*Sqrt[2]*Pi^(3/2)*Exp[Pi])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/64) * exp(Pi) * Pi^(3/2) * sqrt(2) / gamma(3/4)^6

Crossrefs

Cf. A138501.

Sequence in context: A104768 A199430 A388612 * A228497 A199285 A049255

Adjacent sequences: A388630 A388631 A388632 * A388634 A388635 A388636

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved