A394008 - OEIS

%I #4 Mar 06 2026 14:49:45

%S 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,

%T 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,

%U 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

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

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

%e 0.5842806723080989022335430313662764349059464339172204...

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

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

%K nonn,cons

%O 0,1

%A _Amiram Eldar_, Mar 06 2026