A388163 Decimal expansion of 16 * exp(-Pi/2) * sqrt(2) * Gamma(3/4)^12 / Pi^3.

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

Offset

1,2

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} A005758(k) / exp(k*Pi).

Example

1.7394130789085558608215180278639289841...

Mathematica

First[RealDigits[(16*Sqrt[2]*Exp[-1/2*Pi]*Gamma[3/4]^12)/Pi^3, 10, 100]]

Prog

(PARI) 16 * exp(-1/2 * Pi) * 2^(1/2) * gamma(3/4)^12 / Pi^3

Crossrefs

Cf. A005758.

Sequence in context: A003957 A021579 A396662 * A139788 A093525 A139340

Adjacent sequences: A388160 A388161 A388162 * A388164 A388165 A388166

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved