A388761 Decimal expansion of (Pi / 2)^(3/4) / Gamma(3/4)^3.

7, 6, 2, 4, 9, 7, 6, 7, 0, 6, 9, 8, 5, 6, 1, 5, 4, 8, 0, 5, 5, 2, 2, 4, 2, 2, 4, 1, 8, 7, 3, 4, 1, 8, 8, 2, 9, 9, 2, 6, 9, 2, 7, 0, 3, 6, 7, 2, 6, 1, 6, 5, 5, 9, 0, 7, 7, 0, 9, 6, 6, 4, 0, 8, 3, 2, 3, 8, 6, 0, 5, 8, 5, 0, 7, 5, 6, 5, 3, 0, 8, 9, 0, 6, 5, 7, 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} A213384(k) / exp(k*Pi).

Example

0.76249767069856154805522422418734188299...

Mathematica

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

Prog

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

Crossrefs

Cf. A213384.

Sequence in context: A387985 A068469 A388376 * A383861 A276459 A181152

Adjacent sequences: A388758 A388759 A388760 * A388762 A388763 A388764

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved