A388636 Decimal expansion of (64 * sqrt(10 * (-1+sqrt(5))) * Pi) / Gamma(-1/4)^4.

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

Offset

1,2

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} A138506(k) / exp(k*Pi).

Example

1.2245481799306726905667491170522781195...

Mathematica

First[RealDigits[(64*Sqrt[10*(-1 + Sqrt[5])]*Pi)/Gamma[-1/4]^4, 10, 100]]

Prog

(PARI) -(1/8) * Pi * 2^(4/5) * 5^(1/4) * gamma(4/5)^2 * (-5+5^(1/2)) / gamma(3/4)^4 / gamma(9/10) / gamma(7/10)

Crossrefs

Cf. A138506.

Sequence in context: A210597 A252836 A286101 * A072454 A115216 A208637

Adjacent sequences: A388633 A388634 A388635 * A388637 A388638 A388639

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved