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 A303873 #9 Sep 08 2022 08:46:21 %S A303873 0,0,9,16,25,72,49,128,162,200,121,576,169,392,675,768,289,1296,361, %T A303873 1600,1323,968,529,3456,1250,1352,2187,3136,841,5400,961,4096,3267, %U A303873 2312,3675,9072,1369,2888,4563,9600,1681,10584,1849,7744,10125,4232,2209,18432 %N A303873 Total area of the family of squares with side length n such that n = p + q, p divides q and p < q. %H A303873 <a href="/index/Par#part">Index entries for sequences related to partitions</a> %F A303873 a(n) = n^2 * Sum_{i=1..floor((n-1)/2)} (floor((n-i)/i) - floor((n-i-1)/i)). %t A303873 Table[n^2 * Sum[(Floor[(n - i)/i] - Floor[(n - i - 1)/i]), {i, Floor[(n - 1)/2]}], {n, 80}] %o A303873 (Magma) [0,0] cat [&+[(((n-k) div k)-(n-k-1) div k)*n^2: k in [1..(n-1) div 2]]: n in [3..80]]; // _Vincenzo Librandi_, May 02 2018 %Y A303873 Cf. A296955, A296966. %K A303873 nonn,easy %O A303873 1,3 %A A303873 _Wesley Ivan Hurt_, May 01 2018