A371466 Decimal expansion of Product_{k>=1} (1 - 1/(3*k+1)^2).
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, 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, 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
Offset: 0
Examples
0.8833193751427249786568447498242193512859342691...
Programs
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Mathematica
RealDigits[Gamma[1/3]^3/(4 Sqrt[3] Pi), 10, 100][[1]]
Formula
Equals Gamma(1/3)^3 / (4 * sqrt(3) * Pi).
Equals A290570/2. - Hugo Pfoertner, Mar 31 2024
Equals Integral_{x=0..1} (1-x^3)^(1/3) dx. - Mikhail Kurkov, Jun 29 2025