A388640 Decimal expansion of (32 * sqrt((2 * (1+sqrt(5))) / 5) * Pi * exp(Pi)) / (5 * Gamma(-1/4)^4).

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

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} A138557(k) / exp(k*Pi).

Example

0.91700112167365977927408991428594083841...

Mathematica

First[RealDigits[(32*Sqrt[(2*(1 + Sqrt[5]))/5]*Pi*Exp[Pi])/(5*Gamma[-1/4]^4), 10, 100]]

Prog

(PARI) (1/400) * exp(Pi) * Pi * 5^(1/4) * sqrt(2) * (5-5^(1/2))^(1/2) * (5^(1/2)+1) / gamma(3/4)^4

Crossrefs

Cf. A138557.

Sequence in context: A388874 A213916 A297815 * A388510 A389045 A021920

Adjacent sequences: A388637 A388638 A388639 * A388641 A388642 A388643

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved