A371467 Decimal expansion of Product_{k>=0} (1 - 1/(3*k+2)^2).

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

Offset

0,1

Links

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

Formula

Equals (4/3) * Pi^2 / Gamma(1/3)^3.

Equals 1/A224273. - Hugo Pfoertner, Mar 31 2024

Example

0.6844634059797257270110769788663463289556838...

Mathematica

RealDigits[(4/3) Pi^2/Gamma[1/3]^3, 10, 100][[1]]

Crossrefs

Cf. A003881, A010503, A086089, A096427, A224268, A224273, A371466.

Sequence in context: A335005 A321075 A234846 * A244054 A195701 A247038

Adjacent sequences: A371464 A371465 A371466 * A371468 A371469 A371470

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Mar 31 2024

Status

approved