A382588 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2*(p + 1)).

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

Offset

0,2

Links

Table of n, a(n) for n=0..103.

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

Formula

Equals -A085548 + 17*A136141/8 - 5*A086242/4 + A380840/2 + A179119/8.

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

Example

0.08692254791627046690219980086048832844500884091454...

Prog

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

Crossrefs

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

Sequence in context: A093721 A091506 A021539 * A084893 A019939 A343061

Adjacent sequences: A382585 A382586 A382587 * A382589 A382590 A382591

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved