A388087 - OEIS

%I #8 Sep 25 2025 18:28:28

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

%T 1,1,1,7,7,8,7,6,5,3,2,7,0,1,7,1,7,7,2,5,8,0,4,5,8,7,1,5,8,3,1,6,0,4,

%U 7,6,2,0,4,3,1,0,6,5,7,1,7,8,7,2,8,2,3

%N Decimal expansion of (1/4) * exp(1/6 * Pi) * Pi * 2^(1/2) / Gamma(3/4)^4.

%H Simon Plouffe, <a href="https://plouffe.fr/articles/numbers%20in%20the%20base_exp_english%202025.pdf">Numbers in the base e^Pi</a>, 2025.

%F Empirical: Equals Sum_{k>=0} A000727(k) / exp(k*Pi).

%e 0.83150670626724744966596392634565851117...

%t First[RealDigits[(64*Sqrt[2]*Pi*Exp[Pi/6])/Gamma[-1/4]^4, 10, 100]]

%o (PARI) 1/4 * exp(1/6 * Pi) * Pi * 2^(1/2) / gamma(3/4)^4

%Y Cf. A000727.

%K nonn,cons

%O 0,1

%A _Simon Plouffe_, Sep 14 2025