A388874 Decimal expansion of ((Pi / 2)^(3/4) * exp(Pi / 2)) / (4 * Gamma(3/4)^3).

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

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} A246953(k) / exp(k*Pi).

Example

0.91699444948354937854015727795868590331...

Mathematica

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

Prog

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

Crossrefs

Cf. A246953.

Sequence in context: A389046 A296473 A388613 * A213916 A297815 A388640

Adjacent sequences: A388871 A388872 A388873 * A388875 A388876 A388877

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved