A388156 Decimal expansion of Gamma(3/4)^20 / Pi^5.

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

Offset

0,2

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} A004421(k) / exp(k*Pi).

Example

0.19051384676602350624704226687679529672...

Mathematica

First[RealDigits[Gamma[3/4]^20/Pi^5, 10, 100]]

Prog

(PARI) 1 / Pi^5 * gamma(3/4)^20

Crossrefs

Cf. A004421.

Sequence in context: A010770 A388625 A021921 * A374751 A382009 A247718

Adjacent sequences: A388153 A388154 A388155 * A388157 A388158 A388159

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved