A388772 Decimal expansion of (1/16) * exp(Pi / 2) * Pi^2*2^(1/4) / Gamma(3/4)^8.

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

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} A215600(k) / exp(k*Pi).

Example

0.69399297565824569756877708982975911185...

Mathematica

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

Prog

(PARI) (1/16) * exp(Pi / 2) * Pi^2*2^(1/4) / gamma(3/4)^8

Crossrefs

Cf. A215600.

Sequence in context: A085138 A384910 A346176 * A225053 A341641 A215483

Adjacent sequences: A388769 A388770 A388771 * A388773 A388774 A388775

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved