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%I #12 Jun 20 2019 04:20:33
%S 0,0,0,0,1,2,3,4,1,3,5,7,10,13,16,19,14,17,11,14,18,22,26,30,22,27,32,
%T 38,45,52,59,66,57,64,71,78,67,74,81,88,75,82,89,96,104,113,122,131,
%U 116,126,111,121,132,143,127,138,121,132,143,154,166,178,190
%N Sum of the smaller parts of the partitions of n into two parts with larger part nonsquarefree.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..floor(n/2)} i * (1 - mu(n-i)^2), where mu is the Möbius function (A008683).
%t Table[Sum[k (1 - MoebiusMu[n - k]^2), {k, Floor[n/2]}], {n, 80}]
%Y Cf. A008683, A008966, A294237.
%K nonn,easy
%O 1,6
%A _Wesley Ivan Hurt_, Oct 25 2017
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