A388634 Decimal expansion of (1/16) * exp(Pi / 2) * Pi^(3/2) * sqrt(2) / Gamma(3/4)^6.

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

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} A138502(k) / exp(k*Pi).

Example

0.69920613177471616665609428734131828784...

Mathematica

First[RealDigits[(256*Sqrt[2]*Pi^(3/2)*Exp[Pi/2])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/16) * exp(Pi / 2) * Pi^(3/2) * sqrt(2) / gamma(3/4)^6

Crossrefs

Cf. A138502.

Sequence in context: A303046 A155554 A347217 * A019902 A021147 A246709

Adjacent sequences: A388631 A388632 A388633 * A388635 A388636 A388637

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved