A388155 Decimal expansion of Gamma(3/4)^19 / Pi^(19/4).

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

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} A004420(k) / exp(k*Pi).

Example

0.20698087514476583963382916873359750952...

Mathematica

First[RealDigits[Gamma[3/4]^19/Pi^(19/4), 10, 100]]

Prog

(PARI) 1 / Pi^(19/4) * gamma(3/4)^19

Crossrefs

Cf. A004420.

Sequence in context: A372911 A003076 A175478 * A011123 A087464 A078048

Adjacent sequences: A388152 A388153 A388154 * A388156 A388157 A388158

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved