%I #18 Jan 30 2021 23:57:49
%S 1,3,4,6,8,14,11,17,16,32,27,39,39,58,47,61,65,93,67,95,80,130,94,142,
%T 106,203,130,189,151,232,165,246,187,311,235,362,260,389,259,377,283,
%U 442,306,473,367,511,407,530,395,625,458,673,493,801,507,782,548,842,590,901
%N Sum of the smaller parts of the partitions of 2n into 2 squarefree parts.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..n} i * mu(i)^2 * mu(2*n-i)^2, where mu is the Möbius function (A008683).
%F a(n) = A280252(n) - A280251(n).
%p with(numtheory): A280250:=n->sum(i*mobius(i)^2*mobius(2*n-i)^2, i=1..n): seq(A280250(n), n=1..100);
%Y Cf. A008683, A185297, A280226, A280251, A280252.
%K nonn,easy
%O 1,2
%A _Wesley Ivan Hurt_, Dec 29 2016