A388091 Decimal expansion of (1/8) * exp(Pi/3) * Pi^2 / Gamma(3/4)^8.

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

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} A000731(k) / exp(k*Pi).

Example

0.69140340256740652918871412877397217439...

Mathematica

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

Prog

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

Crossrefs

Cf. A000731.

Sequence in context: A257871 A154116 A388396 * A388579 A275614 A198504

Adjacent sequences: A388088 A388089 A388090 * A388092 A388093 A388094

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved