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

0,1

Links

Table of n, a(n) for n=0..99.

Mathematics Stack Exchange, Simple question about Integral_{x=0..1} (1-x^n)^(1/n) dx, 2025.

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

Example

0.8833193751427249786568447498242193512859342691...

Mathematica

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

Crossrefs

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

Sequence in context: A010530 A289915 A021535 * A199188 A340552 A254291

Adjacent sequences: A371463 A371464 A371465 * A371467 A371468 A371469

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Mar 31 2024

Status

approved