A382563 Decimal expansion of Sum_{p prime} 1/(p^3*(p + 1)).

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

Offset

0,2

Links

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

Index to constants which are prime zeta sums {3,0,1}.

Formula

Equals -A085548 + A085541 + A179119.

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

Example

0.0527451455225812789316645379202035274464401981603273243024816...

Prog

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

Crossrefs

Cf. A085541, A085548, A179119.

Sequence in context: A064677 A088520 A084340 * A065925 A250720 A080350

Adjacent sequences: A382560 A382561 A382562 * A382564 A382565 A382566

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved