A382602 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)^3).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.010180978462280959519943803735843109741282152...
		

Links

• Index to constants which are prime zeta sums {2,1,3}.

Crossrefs

Cf. A085548, A136141, A179119, A382554, A382555.

Programs

PARI

sumeulerrat(1/((p-1)*p^2*(p+1)^3)) \\ Amiram Eldar, Apr 01 2025

Formula

Equals -A085548 + A136141/8 + 17*A179119/8 - 5*A382554/4 - A382555/2.

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