A389018 Decimal expansion of (1/8) * exp(Pi / 24) * Pi^2*2^(7/8) / Gamma(3/4)^8.

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

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} A283168(k) / exp(k*Pi).

Example

0.50721215839783461607099359152718450576...

Mathematica

First[RealDigits[(Pi^2*Exp[Pi/24])/(4*2^(1/8)*Gamma[3/4]^8), 10, 100]]

Prog

(PARI) (1/8) * exp(Pi / 24) * Pi^2*2^(7/8) / gamma(3/4)^8

Crossrefs

Cf. A283168.

Sequence in context: A328900 A394046 A070595 * A201656 A168195 A333507

Adjacent sequences: A389015 A389016 A389017 * A389019 A389020 A389021

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved