A388354 - OEIS

%I #8 Jul 11 2026 02:31:24

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

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

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

%N Decimal expansion of 4 * exp(-7*Pi/24) * 2^(5/8) * Gamma(3/4)^7 / Pi^(7/4).

%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.

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

%F Empirical: Equals Sum_{k>=0} A023006(k) / exp(k*Pi).

%e 1.38113116950502256931046964766808878288514095407460740928569695805802130358....

%t First[RealDigits[(4*2^(5/8)*Exp[(-7*Pi)/24]*Gamma[3/4]^7)/Pi^(7/4), 10, 100]]

%o (PARI) 4 * exp(-7/24 * Pi) * 2^(5/8) * gamma(3/4)^7 / Pi^(7/4)

%Y Cf. A023006.

%K nonn,cons,changed

%O 1,2

%A _Simon Plouffe_, Sep 15 2025