A382554 Decimal expansion of Sum_{p prime} 1/(p + 1)^2.

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.24447730415659330695194837134735096763737...
		

Links

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

Crossrefs

Cf. A085548, A086242.

Programs

PARI

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

Formula

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