A394712 Decimal expansion of the asymptotic probability that two nonsquarefree numbers selected independently at random are coprime.

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

Offset

0,1

Links

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

Formula

Equals (6/Pi^2 - 2 * Product_{p prime} (1 - 2/p^2 + 1/p^3) + Product_{p prime} (1 - 3/p^2 + 2/p^3)) / (1 - 6/Pi^2)^2 = (A059956 - 2 * A065464 + A065473) / A229099^2.

Equals A394711 / A229099^2.

Example

0.2483426456381285816837884662384461625097516943278706...

Prog

(PARI) (6/Pi^2 - 2 * prodeulerrat(1 - 2/p^2 + 1/p^3) + prodeulerrat(1 - 3/p^2 + 2/p^3)) / (1 - 6/Pi^2)^2

Crossrefs

Cf. A013929, A059956, A065464, A065473, A229099, A394711.

Sequence in context: A285334 A086317 A356693 * A110217 A338196 A243062

Adjacent sequences: A394709 A394710 A394711 * A394713 A394714 A394715

Keyword

nonn,cons

Author

Amiram Eldar, Mar 30 2026

Status

approved