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%I #10 Aug 24 2020 12:48:35
%S 0,0,1,4,10,4,35,40,84,40,84,140,205,140,374,336,599,336,888,336,1249,
%T 336,1690,820,2219,820,2219,1496,2219,1496,3060,2396,4021,2396,5110,
%U 3552,6335,3552,7704,4996,9225,4996,10906,6760,12755,6760,12755,8876,14964
%N Total area of all squares with squarefree side length |s - t|, such that n = s + t, and s < t, where s and t are positive integers.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{i=1..floor((n-1)/2)} (n-2*i)^2 * mu(n-2*i)^2, where mu is the Möbius function (A008683).
%t Table[Sum[(n - 2 i)^2 MoebiusMu[n - 2 i]^2, {i, Floor[(n - 1)/2]}], {n, 100}]
%o (PARI) a(n) = sum(i=1, (n-1)\2, (n-2*i)^2*moebius(n-2*i)^2); \\ _Michel Marcus_, Apr 17 2018
%Y Cf. A008683.
%K nonn,easy
%O 1,4
%A _Wesley Ivan Hurt_, Apr 17 2018
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