A382567 Decimal expansion of Sum_{p prime} 1/(p*(p + 1)^2).

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

Offset

0,2

Links

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

Index to constants which are prime zeta sums {1,0,2}.

Formula

Equals A179119 - A382554.

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

Example

0.0857526221076099340631462167393937930068857672953086571965324502786040217286...

Prog

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

Crossrefs

Cf. A179119, A382554.

Sequence in context: A117039 A327949 A386710 * A085663 A265303 A021925

Adjacent sequences: A382564 A382565 A382566 * A382568 A382569 A382570

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved