A388773 Decimal expansion of (3/8) * exp(Pi / 4) * Pi^2*2^(1/4) / Gamma(3/4)^8.

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

Offset

1,2

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A215601(k) / exp(k*Pi).

Example

1.8985071480262388589090990310001404191...

Mathematica

First[RealDigits[(3*Pi^2*Exp[Pi/4])/(4*2^(3/4)*Gamma[3/4]^8), 10, 100]]

Prog

(PARI) (3/8) * exp(Pi / 4) * Pi^2*2^(1/4) / gamma(3/4)^8

Crossrefs

Cf. A215601.

Sequence in context: A019738 A236098 A135466 * A374813 A265296 A230154

Adjacent sequences: A388770 A388771 A388772 * A388774 A388775 A388776

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved