login
Decimal expansion of (1/2) * Pi / Gamma(3/4)^4.
1

%I #8 Jul 12 2026 01:02:05

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

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

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

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Empirical: Equals Sum_{k>=0} A096727(k) / exp(k*Pi).

%e 0.69660196484283842959212313016268412132874060875780893948714081594016200628....

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

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

%Y Cf. A096727.

%K nonn,cons,changed

%O 0,1

%A _Simon Plouffe_, Sep 17 2025