A388952 - OEIS

%I #8 Jul 13 2026 22:10:41

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

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

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

%N Decimal expansion of 8 * exp(-Pi / 2) * Gamma(3/4)^4 / Pi.

%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} A273228(k) / exp(k*Pi).

%e 1.19367780650840959488208437193766849916757386676914048349039467726371991925....

%t First[RealDigits[(8*Exp[-1/2*Pi]*Gamma[3/4]^4)/Pi, 10, 100]]

%o (PARI) 8 * exp(-Pi / 2) * gamma(3/4)^4 / Pi

%Y Cf. A273228.

%K nonn,cons,changed

%O 1,3

%A _Simon Plouffe_, Sep 21 2025