A388124 Decimal expansion of Gamma(3/4)^9 / Pi^(9/4).

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

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} A004410(k) / exp(k*Pi).

Example

0.47420589200543359776938133891540383361...

Mathematica

First[RealDigits[Gamma[3/4]^9/Pi^(9/4), 10, 100]]

Prog

(PARI) 1 / Pi^(9/4) * gamma(3/4)^9

Crossrefs

Cf. A004410.

Sequence in context: A365943 A201412 A272056 * A020803 A019626 A203137

Adjacent sequences: A388121 A388122 A388123 * A388125 A388126 A388127

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved