cp's OEIS Frontend

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.

A303873 Total area of the family of squares with side length n such that n = p + q, p divides q and p < q.

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%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