A382558 Decimal expansion of Sum_{p prime} p/(p - 1)^3.

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

Offset

1,1

Links

Table of n, a(n) for n=1..99.

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

Formula

Equals A086242 + A380840.

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

Example

2.522594092507215334850536936804570100824364695700429713...

Prog

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

Crossrefs

Cf. A086242, A380840.

Sequence in context: A065291 A065267 A273990 * A216022 A100955 A049413

Adjacent sequences: A382555 A382556 A382557 * A382559 A382560 A382561

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved