A388122 Decimal expansion of Gamma(3/4)^7 / Pi^(7/4).

5, 5, 9, 7, 2, 4, 4, 6, 6, 6, 2, 6, 6, 5, 5, 7, 2, 9, 2, 7, 5, 5, 8, 7, 2, 0, 4, 3, 9, 6, 7, 4, 6, 2, 3, 6, 0, 2, 5, 8, 4, 8, 6, 1, 4, 4, 6, 2, 6, 0, 7, 8, 9, 7, 0, 7, 9, 8, 2, 3, 3, 5, 5, 3, 4, 0, 1, 9, 3, 7, 0, 7, 8, 5, 9, 0, 9, 0, 2, 7, 6, 8, 2, 2, 1, 5, 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} A004408(k) / exp(k*Pi).

Example

0.55972446662665572927558720439674623602...

Mathematica

First[RealDigits[Gamma[3/4]^7/Pi^(7/4), 10, 100]]

Prog

(PARI) 1 / Pi^(7/4) * gamma(3/4)^7

Crossrefs

Cf. A004408.

Sequence in context: A021951 A206772 A200679 * A124175 A168277 A163980

Adjacent sequences: A388119 A388120 A388121 * A388123 A388124 A388125

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved