%I #13 Sep 17 2020 17:08:11
%S 1,3,4,6,12,14,15,17,28,41,44,48,64,67,68,70,89,93,116,122,149,157,
%T 163,169,199,230,235,268,303,311,318,325,364,372,379,387,432,441,448,
%U 456,504,512,519,527,580,635,644,654,713,773,834,846,911,925,994,1010
%N Sum of the smaller parts of the partitions of 2n into two parts with larger part squarefree.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..n} i * mu(2*n-i)^2, where mu is the Möbius function (A008683).
%t Table[Sum[i*MoebiusMu[2 n - i]^2, {i, n}], {n, 80}]
%Y Cf. A008683, A008966, A294143.
%K nonn,easy
%O 1,2
%A _Wesley Ivan Hurt_, Oct 23 2017