A389045 Decimal expansion of (sqrt(2 * (2-sqrt(2)) * Pi) * Gamma(3/4)^2) / Pi.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A320069(k) / exp(k*Pi).

Example

0.91701683496666156658773258797024299155051303140920369351405663129960760438....

Mathematica

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

Prog

(PARI) 4 * sqrt(Pi) * gamma(7/8)^2 * (2-2^(1/2))^(1/2) / (2+2^(1/2)) / gamma(5/8)^2

Crossrefs

Cf. A320069.

Sequence in context: A297815 A388640 A388510 * A021920 A388585 A367960

Adjacent sequences: A389042 A389043 A389044 * A389046 A389047 A389048

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved