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%I #14 Jun 19 2019 21:16:52
%S 0,0,0,4,4,4,4,12,21,21,21,33,33,33,33,49,49,67,67,87,87,87,87,111,
%T 136,136,163,191,191,191,191,223,223,223,223,259,259,259,259,299,299,
%U 299,299,343,388,388,388,436,485,535,535,587,587,641,641,697,697,697
%N Sum of the smaller parts of the partitions of 2n into two parts with smaller part nonsquarefree.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..n} i * (1 - mu(i)^2), where mu is the Möbius function (A008683).
%t Table[Sum[k (1 - MoebiusMu[k]^2), {k, n}], {n, 80}]
%Y Cf. A008683, A008966, A294245.
%K nonn,easy
%O 1,4
%A _Wesley Ivan Hurt_, Oct 25 2017