A388324 - OEIS

%I #8 May 18 2026 14:10:14

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

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

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

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

%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.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Empirical: Equals Sum_{k>=0} A022598(k) / exp(k*Pi).

%e 0.87566744511363025563901731087084853026...

%t First[RealDigits[2^(3/8)*Exp[-1/8*Pi], 10, 100]]

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

%Y Cf. A022598.

%K nonn,cons

%O 0,1

%A _Simon Plouffe_, Sep 15 2025