A388157 Decimal expansion of Gamma(3/4)^21 / Pi^(21/4).

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

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} A004422(k) / exp(k*Pi).

Example

0.17535690572475449964648085916131520522...

Mathematica

First[RealDigits[Gamma[3/4]^21/Pi^(21/4), 10, 100]]

Prog

(PARI) 1 / Pi^(21/4) * gamma(3/4)^21

Crossrefs

Cf. A004422.

Sequence in context: A176974 A198983 A019935 * A255646 A255196 A345736

Adjacent sequences: A388154 A388155 A388156 * A388158 A388159 A388160

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved