A388600 - OEIS

%I #7 Sep 25 2025 18:28:29

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

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

%U 9,9,4,2,5,8,1,7,1,4,8,8,7,0,0,1,0,2,8

%N Decimal expansion of exp(-Pi/24) * Pi^(1/4) * 2^(1/4) / Gamma(3/4).

%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} A132969(k) / exp(k*Pi).

%e 1.1334755510155527756244921405468719799...

%t First[RealDigits[((2*Pi)^(1/4)*Exp[-1/24*Pi])/Gamma[3/4], 10, 100]]

%o (PARI) exp(-1/24 * Pi) * Pi^(1/4) * 2^(1/4) / gamma(3/4)

%Y Cf. A132969.

%K nonn,cons

%O 1,3

%A _Simon Plouffe_, Sep 18 2025