A382585 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2*(p + 1)).

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

Offset

0,2

Links

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

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

Formula

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

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

Example

0.09077659953708842238093695825185359907853979835505...

Prog

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

Crossrefs

Cf. A085548, A086242, A136141, A179119.

Sequence in context: A381653 A388361 A309823 * A196549 A173164 A298743

Adjacent sequences: A382582 A382583 A382584 * A382586 A382587 A382588

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved