A388959 Decimal expansion of ((-1+sqrt(5)) * Pi * exp(Pi)) / (40 * Gamma(3/4)^4).

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

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} A276491(k) / exp(k*Pi).

Example

0.99626164023121372722539583539139259726...

Mathematica

First[RealDigits[((-1 + Sqrt[5])*Pi*Exp[Pi])/(40*Gamma[3/4]^4), 10, 100]]

Prog

(PARI) (1/200) * exp(Pi) * Pi * (5-5^(1/2)) * 5^(1/2) / gamma(3/4)^4

Crossrefs

Cf. A276491.

Sequence in context: A389778 A347150 A346850 * A388473 A344505 A334478

Adjacent sequences: A388956 A388957 A388958 * A388960 A388961 A388962

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved