%I
%S 0,0,4,4,17,17,29,29,37,46,66,66,103,130,158,158,174,174,192,192,212,
%T 212,301,301,374,399,451,478,506,506,566,629,661,661,729,729,765,840,
%U 916,916,1037,1037,1121,1121,1165,1210,1302,1302,1350,1498,1548,1548
%N Sum of the larger parts of the partitions of 2n 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..n} (2ni) * (1  mu(2ni)^2), where mu is the MÃ¶bius function (A008683).
%t Table[Sum[(2 n  k) (1  MoebiusMu[2 n  k]^2), {k, n}], {n, 80}]
%o (PARI) a(n) = sum(i=1, n, (2*ni)*(1  moebius(2*ni)^2)); \\ _Michel Marcus_, Feb 11 2018
%Y Cf. A008683, A008966, A294246.
%K nonn,easy
%O 1,3
%A _Wesley Ivan Hurt_, Oct 25 2017
