A382568 Decimal expansion of Sum_{p prime} 1/(p^2*(p + 1)^2).

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

Offset

0,2

Links

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

Index to constants which are prime zeta sums {2,0,2}.

Formula

Equals A085548 - 2*A179119 + A382554.

Equals Sum_{k>=4} (-1)^k * (k-3) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

Example

0.03626487166925232342830256000610938052208615647051330838965787931013...

Prog

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

Crossrefs

Cf. A085548, A179119, A382554.

Sequence in context: A194109 A194033 A259498 * A118453 A021969 A172372

Adjacent sequences: A382565 A382566 A382567 * A382569 A382570 A382571

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved