A394002 Decimal expansion of Product_{p prime} (1 - (3*p-1)/(p^2*(p+1))).

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

Offset

0,1

Comments

The asymptotic probability that two positive integers selected independently at random are coprime and both are exponentially odd numbers (A268335).

Links

Table of n, a(n) for n=0..104.

Formula

Equals A065463^2 * A394003.

Equals zeta(2) * A256392. - Amiram Eldar, Jun 24 2026

Example

0.358231630001961414567504290410102150117241844340819...

Prog

(PARI) prodeulerrat(1 - (3*p-1)/(p^2*(p+1)))

Crossrefs

Cf. A013661, A065463, A065473, A256392, A268335, A394003.

Sequence in context: A089103 A189964 A181910 * A367453 A222494 A336238

Adjacent sequences: A393999 A394000 A394001 * A394003 A394004 A394005

Keyword

nonn,cons

Author

Amiram Eldar, Mar 06 2026

Status

approved