A388765 Decimal expansion of (1/32) * exp(3*Pi/4) * Pi^(3/2) * sqrt(2) / Gamma(3/4)^6.

7, 6, 6, 7, 7, 7, 4, 3, 0, 0, 8, 7, 5, 9, 0, 4, 9, 7, 6, 5, 5, 1, 9, 7, 2, 1, 5, 2, 4, 9, 5, 4, 3, 8, 8, 5, 2, 5, 8, 7, 3, 8, 7, 3, 6, 5, 4, 3, 8, 4, 3, 6, 8, 0, 8, 9, 7, 3, 6, 8, 5, 4, 0, 3, 8, 6, 1, 3, 3, 1, 2, 8, 2, 3, 3, 6, 1, 2, 9, 2, 5, 4, 2, 3, 2, 8, 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} A213791(k) / exp(k*Pi).

Example

0.76677743008759049765519721524954388525...

Mathematica

First[RealDigits[(128*Sqrt[2]*Pi^(3/2)*Exp[(3*Pi)/4])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/32) * exp(3/4 * Pi) * Pi^(3/2) * sqrt(2) / gamma(3/4)^6

Crossrefs

Cf. A213791.

Sequence in context: A073084 A011473 A259171 * A021570 A388327 A242977

Adjacent sequences: A388762 A388763 A388764 * A388766 A388767 A388768

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved