A388609 Decimal expansion of (4 * (1+sqrt(5)) * sqrt(Pi)) / Gamma(-1/4)^2.

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

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} A133574(k) / exp(k*Pi).

Example

0.95491560375472719357438709618957236445853446215111147523215847013912244309....

Mathematica

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

Prog

(PARI) (1/20) * sqrt(Pi) * (5+5^(1/2)) * 5^(1/2) / gamma(3/4)^2

Crossrefs

Cf. A133574.

Sequence in context: A388878 A353772 A388879 * A388576 A259148 A388462

Adjacent sequences: A388606 A388607 A388608 * A388610 A388611 A388612

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved