A388954 Decimal expansion of 2 * exp(-Pi / 4) * 2^(1/4) * Gamma(3/4)^2 / sqrt(Pi).

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

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} A274621(k) / exp(k*Pi).

Example

0.91872611344947630034378359084052241727...

Mathematica

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

Prog

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

Crossrefs

Cf. A274621.

Sequence in context: A301815 A388867 A191502 * A109871 A087500 A238168

Adjacent sequences: A388951 A388952 A388953 * A388955 A388956 A388957

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved