A388675 Decimal expansion of ((1+sqrt(5)) * Pi * exp(Pi / 2)) / (20 * Gamma(3/4)^4).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A159817(k) / exp(k*Pi).

Example

1.0844024944940588479441187498410273905...

Mathematica

First[RealDigits[((1 + Sqrt[5])*Pi*Exp[Pi/2])/(20*Gamma[3/4]^4), 10, 100]]

Prog

(PARI) (1/100) * exp(Pi / 2) * Pi * (5+5^(1/2)) * 5^(1/2) / gamma(3/4)^4

Crossrefs

Cf. A159817.

Sequence in context: A154211 A388459 A388746 * A019723 A384036 A388378

Adjacent sequences: A388672 A388673 A388674 * A388676 A388677 A388678

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved