A382604 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p*(p + 1)^3).

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

Offset

0,3

Links

Table of n, a(n) for n=0..97.

Index to constants which are prime zeta sums {1,2,3}.

Formula

Equals -5*A136141/16 + A086242/8 + 11*A179119/16 - A382554/2 - A382555/4.

Equals Sum_{k>=3} ((k-2)*(k-1)/2)*(P(2*k) - P(2*k+1)), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

Example

0.01988701337207741504209550403926167171075316620203877071...

Prog

(PARI) sumeulerrat(1/((p-1)^2*p*(p+1)^3)) \\ Amiram Eldar, Apr 01 2025

Crossrefs

Cf. A086242, A136141, A179119, A382554, A382555.

Sequence in context: A258752 A363704 A195477 * A157680 A396759 A387454

Adjacent sequences: A382601 A382602 A382603 * A382605 A382606 A382607

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved