A394004 Decimal expansion of zeta(2)^2 * Product_{p prime} (1 - 5/p^2 + 6/p^3 - 1/p^4 - 2/p^5 + 1/p^6).

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

Offset

0,1

Comments

The asymptotic probability that the product of two positive integers selected independently at random is an exponentially odd number (A268335).

Links

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

Example

0.458422736188840564414377231108835290411364229317719...

Prog

(PARI) zeta(2)^2 * prodeulerrat(1 - 5/p^2 + 6/p^3 - 1/p^4 - 2/p^5 + 1/p^6)

Crossrefs

Cf. A013661, A065473 (squarefree analog), A098198, A268335, A394005, A394008 (cubefree analog).

Sequence in context: A195386 A384461 A259468 * A143717 A155921 A016721

Adjacent sequences: A394001 A394002 A394003 * A394005 A394006 A394007

Keyword

nonn,cons

Author

Amiram Eldar, Mar 06 2026

Status

approved