A388570 Decimal expansion of (4 * (-1+sqrt(2)) * exp(Pi) * Gamma(5/4)^4) / Pi^3.

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

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} A121455(k) / exp(k*Pi).

Example

0.83463266294329681661269696061796546239...

Mathematica

First[RealDigits[(4*(-1 + Sqrt[2])*Exp[Pi]*Gamma[5/4]^4)/Pi^3, 10, 100]]

Prog

(PARI) (1/128) * exp(Pi) * sqrt(2) * gamma(5/8)^4 * (2+2^(1/2)) / Pi / gamma(7/8)^4

Crossrefs

Cf. A121455.

Sequence in context: A388704 A388593 A014549 * A346441 A334064 A021549

Adjacent sequences: A388567 A388568 A388569 * A388571 A388572 A388573

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved