A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)) .

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

Offset

0,2

Links

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

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

Formula

Equals 7*A136141/8 - 3*A086242/4 + A380840/2 - A179119/8.

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

Example

0.17769914745335888928313675911234192752354863926959...

Prog

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

Crossrefs

Cf. A086242, A136141, A179119, A380840.

Sequence in context: A124930 A195202 A252799 * A022619 A393899 A384625

Adjacent sequences: A382584 A382585 A382586 * A382588 A382589 A382590

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved