A388164 Decimal expansion of exp(Pi / 2) * Pi * sqrt(2) / Gamma(3/4)^4.

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

Offset

1,1

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A005879(k) / exp(k*Pi).

Example

9.4780253409235635621363234326238237349...

Mathematica

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

Prog

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

Crossrefs

Cf. A005879.

Sequence in context: A388963 A122790 A388945 * A288241 A199665 A113273

Adjacent sequences: A388161 A388162 A388163 * A388165 A388166 A388167

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved