A382553 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..98.

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

Formula

Equals A085548 - 2*A136141 + A086242.

Equals Sum_{k>=4} (k-3) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

Example

0.2809990766901105306950615756428028421153486312488377838...

Prog

(PARI) sumeulerrat(1/((p-1)^2*p^2)) \\ Amiram Eldar, Apr 01 2025

Crossrefs

Cf. A085548, A086242, A136141.

Sequence in context: A058655 A058964 A021360 * A389754 A028256 A209455

Adjacent sequences: A382550 A382551 A382552 * A382554 A382555 A382556

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved