A388115 Decimal expansion of (3/2) * Pi / Gamma(3/4)^4.

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A004011(k) / exp(k*Pi).

Example

2.0898058945285152887763693904880523640...

Mathematica

First[RealDigits[(3*Pi)/(2*Gamma[3/4]^4), 10, 100]]

Prog

(PARI) (3/2) * Pi / gamma(3/4)^4

Crossrefs

Cf. A004011.

Sequence in context: A181592 A388294 A332616 * A097348 A271034 A185965

Adjacent sequences: A388112 A388113 A388114 * A388116 A388117 A388118

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved