A389020 - OEIS

%I #8 Jul 13 2026 22:14:22

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

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

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

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

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

%F Empirical: Equals Sum_{k>=0} A286346(k) / exp(k*Pi).

%e 0.33802909703322541325022619188350001964044653246345466346081368007413325403....

%t First[RealDigits[Pi^3/(8*Gamma[3/4]^12), 10, 100]]

%o (PARI) (1/8) * Pi^3 / gamma(3/4)^12

%Y Cf. A286346.

%K nonn,cons,changed

%O 0,1

%A _Simon Plouffe_, Sep 22 2025