A388637 Decimal expansion of (sqrt((11+5 * sqrt(5)) / 10) * Pi * exp(Pi)) / (50 * Gamma(3/4)^4).

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

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} A138512(k) / exp(k*Pi).

Example

0.96029604170536766537162013029760418866...

Mathematica

First[RealDigits[(Sqrt[(11 + 5*Sqrt[5])/10]*Pi*Exp[Pi])/(50*Gamma[3/4]^4), 10, 100]]

Prog

(PARI) (1/320000) * exp(Pi) * Pi * 5^(1/4) * sqrt(2) * (5-5^(1/2))^(5/2) * (5^(1/2)+1)^5 / gamma(3/4)^4

Crossrefs

Cf. A138512.

Sequence in context: A154161 A388791 A388469 * A380737 A393636 A336001

Adjacent sequences: A388634 A388635 A388636 * A388638 A388639 A388640

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved