A388241 - OEIS

%I #6 Sep 25 2025 18:28:28

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

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

%U 3,7,1,9,0,5,5,7,9,4,3,7,1,6,7,5,1,9,8

%N Decimal expansion of (1/256) * exp(3*Pi/2) * Pi^3 * sqrt(2) / Gamma(3/4)^12.

%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} A014787(k) / exp(k*Pi).

%e 1.6629670169620917361542055550048201716...

%t First[RealDigits[(65536*Sqrt[2]*Pi^3*Exp[(3*Pi)/2])/Gamma[-1/4]^12, 10, 100]]

%o (PARI) (1/256) * exp(3/2 * Pi) * Pi^3 * sqrt(2) / gamma(3/4)^12

%Y Cf. A014787.

%K nonn,cons

%O 1,2

%A _Simon Plouffe_, Sep 15 2025