A382575 Decimal expansion of Sum_{p prime} (p - 1)/(p + 1)^3 .

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.12304471118232056125715117369116831819672016343537931371506541387358...
		

Links

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

Crossrefs

Cf. A382554, A382555.

Programs

PARI

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

Formula

Equals A382554 - 2*A382555.

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