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.

A303385 Total area of all rectangles with dimensions s and t such that s | t, n = s + t and s < t.

This page as a plain text file.
%I A303385 #19 Sep 08 2022 08:46:21
%S A303385 0,0,2,3,4,13,6,19,26,25,10,90,12,37,100,91,16,166,18,194,172,61,22,
%T A303385 446,124,73,260,322,28,635,30,395,364,97,380,1041,36,109,484,990,40,
%U A303385 1091,42,650,1144,133,46,1966,342,770,772,850,52,1651,788,1686,940
%N A303385 Total area of all rectangles with dimensions s and t such that s | t, n = s + t and s < t.
%H A303385 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A303385 a(n) = Sum_{i=1..floor((n-1)/2)} i * (n-i) * (floor((n-i)/i) - floor((n-i-1)/i)).
%t A303385 Table[Sum[i (n - i) (Floor[(n - i)/i] - Floor[(n - i - 1)/i]), {i, Floor[(n - 1)/2]}], {n, 80}]
%o A303385 (Magma) [0,0] cat [&+[k*(n-k)*(((n-k) div k)-((n-k-1) div k)):  k in [1..(n-1) div 2]]: n in [3..80]]; // _Vincenzo Librandi_, Apr 23 2018
%Y A303385 Cf. A303384.
%K A303385 nonn,easy
%O A303385 1,3
%A A303385 _Wesley Ivan Hurt_, Apr 22 2018