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%I #10 Jun 19 2019 21:17:13
%S 0,0,1,1,2,1,3,2,4,2,4,3,5,3,6,4,7,4,8,4,9,4,10,5,11,5,11,6,11,6,12,7,
%T 13,7,14,8,15,8,16,9,17,9,18,10,19,10,19,11,20,11,20,11,21,11,22,11,
%U 23,11,24,12,25,12,26,13,26,13,27,14,28,14,29,15,30
%N Number of partitions of n into two parts such that the positive difference of the parts is squarefree.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..floor((n-1)/2)} mu(n-2i)^2, where mu is the Möbius function (A008683).
%t Table[Sum[(MoebiusMu[(n - 2 i)]^2), {i, Floor[(n-1)/2]}], {n, 100}]
%Y Cf. A008683, A302642, A302643.
%K nonn,easy
%O 1,5
%A _Wesley Ivan Hurt_, Apr 10 2018