A382599 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2*(p + 1)^2).

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

Offset

0,2

Links

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

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

Formula

Equals -A085548 + 23*A136141/16 - 3*A086242/4 + A380840/4 + 7*A179119/16 - A382554/8.

Equals Sum_{k>=4} ((k-3)*(k-2)/2)*(P(2*k-1) + P(2*k)), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

Example

0.028664749817198298168976298258904047...

Prog

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

Crossrefs

Cf. A085548, A086242, A136141, A179119, A380840, A382554.

Sequence in context: A131361 A389931 A228042 * A239386 A011370 A021890

Adjacent sequences: A382596 A382597 A382598 * A382600 A382601 A382602

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved