A388096 - OEIS

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

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

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

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

%N Decimal expansion of (1/4) * exp(3/8 * Pi) * 2^(1/2).

%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} A001937(k) / exp(k*Pi).

%e 1.1484078148788087524710011715015315115...

%t First[RealDigits[Exp[(3*Pi)/8]/(2*Sqrt[2]), 10, 100]]

%o (PARI) 1/4 * exp(3/8 * Pi) * 2^(1/2)

%Y Cf. A001937.

%K nonn,cons

%O 1,3

%A _Simon Plouffe_, Sep 14 2025