A382595 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2*(p + 1)^2).

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

Offset

0,2

Links

Table of n, a(n) for n=0..102.

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

Formula

Equals A085548 - 3*A136141/4 + A086242/4 - 3*A179119/4 + A382554/4.

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

Example

0.02959304828187387056424720434268023368022417966046...

Prog

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

Crossrefs

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

Sequence in context: A389041 A021342 A069857 * A076841 A213819 A361013

Adjacent sequences: A382592 A382593 A382594 * A382596 A382597 A382598

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved