A388744 Decimal expansion of Pi / (2^(3/4) * Gamma(3/4)^4).

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

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} A208451(k) / exp(k*Pi).

Example

0.82840401291597881768825830660689783648...

Mathematica

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

Prog

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

Crossrefs

Cf. A208451.

Sequence in context: A085967 A388390 A388815 * A163960 A246849 A143531

Adjacent sequences: A388741 A388742 A388743 * A388745 A388746 A388747

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved