A382550 Decimal expansion of Sum_{p prime} (p + 1)/(p - 1)^3.

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

Offset

1,1

Links

Table of n, a(n) for n=1..102.

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

Formula

Equals A086242 + 2*A380840.

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

Example

3.67012319026579538178382074308670050246912943122554196...

Prog

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

Crossrefs

Cf. A086242, A380840.

Sequence in context: A137497 A391836 A032338 * A081814 A391373 A133340

Adjacent sequences: A382547 A382548 A382549 * A382551 A382552 A382553

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved