%I
%S 0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,2,3,1,2,2,3,1,3,3,3,1,2,3,3,1,3,3,
%T 4,0,4,5,5,2,5,6,5,2,4,6,6,2,5,7,8,2,5,6,9,4,7,7,9,4,7,8,8,4,8,9,9,3,
%U 8,8,10,1,9,9,10,3,8,10,9,4,8,11,11,3,9
%N Number of partitions of n into two parts with smaller part nonsquarefree and larger part squarefree.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..floor(n/2)} (1  mu(i)^2) * mu(ni)^2, where mu is the MÃ¶bius function (A008683).
%t Table[Sum[(1  MoebiusMu[k]^2) (MoebiusMu[n  k]^2), {k, Floor[n/2]}], {n, 80}]
%Y Cf. A008683, A008966, A294232.
%K nonn,easy
%O 1,18
%A _Wesley Ivan Hurt_, Oct 25 2017
