A394008 Decimal expansion of Product_{p prime} (1 - 4/p^3 + 3/p^4).

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

Offset

0,1

Comments

The asymptotic probability that the product of two positive integers selected independently at random is a cubefree number.

Links

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

Example

0.5842806723080989022335430313662764349059464339172204...

Prog

(PARI) prodeulerrat(1 - 4/p^3 + 3/p^4)

Crossrefs

Cf. A004709, A065473 (squarefree analog), A394004 (exponentially odd analog).

Sequence in context: A249445 A199450 A366072 * A019649 A388738 A224833

Adjacent sequences: A394005 A394006 A394007 * A394009 A394010 A394011

Keyword

nonn,cons

Author

Amiram Eldar, Mar 06 2026

Status

approved