A388176 - OEIS

%I #8 Jul 11 2026 02:19:29

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

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

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

%N Decimal expansion of 512 * exp(-Pi) * Gamma(3/4)^24 / Pi^6.

%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} A006922(k) / exp(k*Pi).

%e 3.02555785907814197763846631519170259588946904448436380627828436161800208447....

%t First[RealDigits[(512*Exp[-Pi]*Gamma[3/4]^24)/Pi^6, 10, 100]]

%o (PARI) 512 * exp(-Pi) * gamma(3/4)^24 / Pi^6

%Y Cf. A006922.

%K nonn,cons,changed

%O 1,1

%A _Simon Plouffe_, Sep 15 2025