A388161 - OEIS

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

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

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

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

%N Decimal expansion of (5/8) * 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.

%F Empirical: Equals Sum_{k>=0} A004533(k) / exp(k*Pi).

%e 1.6901454851661270662511309594175000982...

%t First[RealDigits[(5*Pi^3)/(8*Gamma[3/4]^12), 10, 100]]

%o (PARI) 5/8 * Pi^3 / gamma(3/4)^12

%Y Cf. A004533.

%K nonn,cons

%O 1,2

%A _Simon Plouffe_, Sep 15 2025