A388332 - OEIS

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

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

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

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

%N Decimal expansion of 2 * exp(-13*Pi/24) * 2^(5/8).

%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} A022608(k) / exp(k*Pi).

%e 0.56251816489148280679536341014190985836...

%t First[RealDigits[2*2^(5/8)*Exp[(-13*Pi)/24], 10, 100]]

%o (PARI) 2 * exp(-13/24 * Pi) * 2^(5/8)

%Y Cf. A022608.

%K nonn,cons

%O 0,1

%A _Simon Plouffe_, Sep 15 2025