A388774 - OEIS

%I #8 Jul 13 2026 09:11:18

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

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

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

%N Decimal expansion of (1/64) * exp(Pi) * Pi^4 / Gamma(3/4)^16.

%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} A216711(k) / exp(k*Pi).

%e 1.3622447502336276207048119559020709087...

%t First[RealDigits[(Pi^4*Exp[Pi])/(64*Gamma[3/4]^16), 10, 100]]

%o (PARI) (1/64) * exp(Pi) * Pi^4 / gamma(3/4)^16

%Y Cf. A216711.

%K nonn,cons,changed

%O 1,2

%A _Simon Plouffe_, Sep 18 2025