A388567 Decimal expansion of (1/2) * Pi^(3/2) / Gamma(3/4)^6.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A120030(k) / exp(k*Pi).

Example

0.82222758045838551553472282145714841029...

Mathematica

First[RealDigits[Pi^(3/2)/(2*Gamma[3/4]^6), 10, 100]]

Prog

(PARI) (1/2) * Pi^(3/2) / gamma(3/4)^6

Crossrefs

Cf. A120030.

Sequence in context: A176153 A136711 A037920 * A138997 A248498 A133918

Adjacent sequences: A388564 A388565 A388566 * A388568 A388569 A388570

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved