A388209 - OEIS

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

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

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

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

%N Decimal expansion of (729/64) * Pi^6 / Gamma(3/4)^24.

%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} A008662(k) / exp(k*Pi).

%e 83.298215751560239249029572229728590359...

%t First[RealDigits[(729*Pi^6)/(64*Gamma[3/4]^24), 10, 100]]

%o (PARI) (729/64) * Pi^6 / gamma(3/4)^24

%Y Cf. A008662.

%K nonn,cons

%O 2,1

%A _Simon Plouffe_, Sep 15 2025