A382586 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^3*(p + 1)).

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

Offset

0,2

Links

Table of n, a(n) for n=0..104.

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

Formula

Equals A085548 + A085541 - 7*A136141/4 + A086242/2 + A179119/4.

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

Example

0.044075867443736015379413837032961482566710961976642...

Prog

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

Crossrefs

Cf. A085541, A085548, A086242, A136141, A179119.

Sequence in context: A133657 A121455 A227033 * A285050 A262949 A200519

Adjacent sequences: A382583 A382584 A382585 * A382587 A382588 A382589

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved