A388444 Decimal expansion of -1/20 * ((-3+sqrt(5)) * sqrt(Pi) * exp(Pi)) / Gamma(3/4)^2.

1, 0, 4, 3, 2, 9, 8, 1, 0, 5, 4, 1, 7, 8, 1, 2, 7, 9, 9, 1, 7, 1, 4, 6, 2, 4, 0, 2, 0, 4, 6, 6, 6, 7, 7, 8, 6, 8, 2, 5, 2, 8, 5, 0, 9, 7, 6, 8, 1, 2, 3, 0, 4, 9, 5, 0, 4, 6, 9, 0, 7, 6, 0, 4, 3, 4, 9, 3, 3, 3, 8, 8, 3, 5, 6, 7, 5, 1, 4, 9, 0, 2, 8, 1, 1, 7, 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} A053694(k) / exp(k*Pi).

Example

1.0432981054178127991714624020466677868...

Mathematica

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

Prog

(PARI) (2/25) * exp(Pi) * sqrt(Pi) * (5+5^(1/2))^2 * (1/4*5^(1/2)-1/4)^4 / gamma(3/4)^2

Crossrefs

Cf. A053694.

Sequence in context: A388210 A388820 A273991 * A388443 A292828 A388524

Adjacent sequences: A388441 A388442 A388443 * A388445 A388446 A388447

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved