A380688 Decimal expansion of Sum_{p prime} (p + 1)^3/((p - 1)^2*p^3).

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

Offset

1,1

Links

Table of n, a(n) for n=1..103.

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

Formula

Equals 5*A085548 + A085541 - 12*A136141 + 8*A152441.

Equals P(2) + 5*P(3) + Sum_{k>=4} (8*k - 20) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 02 2025

Example

4.1586396688963117979214456647351...

Prog

(PARI) sumeulerrat((p + 1)^3/((p - 1)^2*p^3)) \\ Amiram Eldar, Apr 02 2025

Crossrefs

Cf. A085541, A085548, A136141, A152441.

Sequence in context: A272534 A332522 A173386 * A011443 A016687 A139356

Adjacent sequences: A380685 A380686 A380687 * A380689 A380690 A380691

Keyword

cons,nonn

Author

Artur Jasinski, Mar 31 2025

Status

approved