A388953 - OEIS

%I #8 Jul 13 2026 22:10:33

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

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

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

%N Decimal expansion of 2^(5/8) * Gamma(3/4)^3 / Pi^(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.

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

%F Empirical: Equals Sum_{k>=0} A274327(k) / exp(k*Pi).

%e 1.2026319272091137156284102254813175595...

%t First[RealDigits[(2^(5/8)*Gamma[3/4]^3)/Pi^(3/4), 10, 100]]

%o (PARI) 2^(5/8) * gamma(3/4)^3 / Pi^(3/4)

%Y Cf. A274327.

%K nonn,cons,changed

%O 1,2

%A _Simon Plouffe_, Sep 21 2025