This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A294063 #20 Jan 19 2021 15:54:10
%S A294063 0,2,4,12,6,20,26,46,52,58,66,96,80,90,104,148,162,210,224,276,290,
%T A294063 346,318,382,352,372,394,416,438,518,542,566,592,684,712,810,838,866,
%U A294063 898,1008,960,1076,1112,1234,1270,1306,1344,1476,1514,1454,1494,1636,1676
%N A294063 Sum of the differences of the larger and smaller parts in the partitions of 2n into two parts with the larger part squarefree.
%H A294063 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294063 a(n) = 2 * Sum_{i=1..n} (n - i) * mu(2*n - i)^2, where mu is the Möbius function (A008683).
%t A294063 Table[2*Sum[(n - i) MoebiusMu[2 n - i]^2, {i, n}], {n, 80}]
%t A294063 Table[Total[#[[1]]-#[[2]]&/@Select[IntegerPartitions[2n,{2}],SquareFreeQ[ #[[1]]]&]],{n,60}] (* _Harvey P. Dale_, Jan 19 2021 *)
%o A294063 (PARI) a(n) = 2*sum(i=1, n, (n-i)*moebius(2*n-i)^2); \\ _Michel Marcus_, Nov 08 2017
%Y A294063 Cf. A008683, A008966, A294062.
%K A294063 nonn,easy
%O A294063 1,2
%A A294063 _Wesley Ivan Hurt_, Oct 22 2017