A388618 Decimal expansion of 32 * exp(-Pi) * Gamma(3/4)^5 / Pi^(5/4).

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

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} A134414(k) / exp(k*Pi).

Example

0.91359825423545076442453240767221120275...

Mathematica

First[RealDigits[(32*Exp[-Pi]*Gamma[3/4]^5)/Pi^(5/4), 10, 100]]

Prog

(PARI) 32 * exp(-Pi) * gamma(3/4)^5 / Pi^(5/4)

Crossrefs

Cf. A134414.

Sequence in context: A388580 A388660 A388631 * A388907 A388681 A198819

Adjacent sequences: A388615 A388616 A388617 * A388619 A388620 A388621

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved