A382562 Decimal expansion of Sum_{p prime} 1/(p^2*(p + 1)).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.1220174937768622574914487767455031735289719237658219655861903295887428605710029...
		

Links

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

Crossrefs

Cf. A085548, A179119.

Programs

PARI

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

Formula

Equals A085548 - A179119.

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