%I #14 Jan 11 2025 18:36:37

%S 0,1,1,2,3,3,4,0,0,1,1,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,0,0,0,1,1,0,1,1,

%T 1,2,1,1,2,2,2,2,2,2,3,3,2,3,3,3,4,4,3,4,4,4,5,5,4,5,5,5,6,0,0,0,0,1,

%U 1,1,0,1,1,1,1,2,1,1,1,2,2,2,1,2,2,2,2,3,3,2,2,3,3,3,3,4,3,3,3,4,4,4,4,4,4

%N a(n) = floor(n/floor(n^(1/3))) - floor(n^(2/3)).

%F For n > 4: Max_{k=1..n} a(k) = ceiling((n+2)^(1/3)) + 1.

%o (PARI) a(n)=floor(n/sqrtnint(n,3))-sqrtnint(n^2,3)

%Y Cf. A048766, A100196.

%K nonn

%O 1,4

%A _Benoit Cloitre_, Jan 30 2003