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Decimal expansion of Product_{k>=1} (1 - 1/(3*k+1)^2).
1

%I #18 Apr 01 2024 06:29:45

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

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

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

%N Decimal expansion of Product_{k>=1} (1 - 1/(3*k+1)^2).

%F Equals Gamma(1/3)^3 / (4 * sqrt(3) * Pi).

%F Equals A290570/2. - _Hugo Pfoertner_, Mar 31 2024

%e 0.8833193751427249786568447498242193512859342691...

%t RealDigits[Gamma[1/3]^3/(4 Sqrt[3] Pi), 10, 100][[1]]

%Y Cf. A003881, A010503, A086089, A096427, A224268, A290570, A371467.

%K nonn,cons

%O 0,1

%A _Ilya Gutkovskiy_, Mar 31 2024