%I #3 Feb 21 2022 10:45:18
%S 0,0,1,1,2,2,3,3,4,4,5,4,5,6,7,6,7,8,9,7,9,9,11,9,11,11,12,10,12,13,
%T 14,12,14,14,16,12,16,17,18,15,18,19,19,16,19,21,22,18,21,23,24,18,22,
%U 23,26,21,24,24,27,22,26,27,28,24,28,29,30,24,30,30,33,24,32,32,34,27
%N Number of partitions of n into exactly two distinct parts, at least one of which is squarefree.
%F a(n) = Sum_{k=1..floor((n-1)/2)} (mu(k)^2 + mu(n-k)^2 - mu(k)^2*mu(n-k)^2), where mu is the Möbius function.
%Y Cf. A005117, A008683 (mu), A351833.
%K nonn
%O 1,5
%A _Wesley Ivan Hurt_, Feb 21 2022