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.

A303481 Total volume of the family of rectangular prisms with dimensions p, q and p + q where p divides q, n = p + q and p < q.

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%I A303481 #4 Apr 25 2018 08:33:37
%S A303481 0,0,6,12,20,78,42,152,234,250,110,1080,156,518,1500,1456,272,2988,
%T A303481 342,3880,3612,1342,506,10704,3100,1898,7020,9016,812,19050,930,12640,
%U A303481 12012,3298,13300,37476,1332,4142,18876,39600,1640,45822,1806,28600,51480,6118
%N A303481 Total volume of the family of rectangular prisms with dimensions p, q and p + q where p divides q, n = p + q and p < q.
%H A303481 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A303481 a(n) = n * Sum_{i=1..floor((n-1)/2)} n * i * (n-i) (floor((n-i)/i) - floor((n-i-1)/i)).
%F A303481 a(n) = n * A303385(n).
%t A303481 Table[Sum[n*i (n - i) (Floor[(n - i)/i] - Floor[(n - i - 1)/i]), {i, Floor[(n - 1)/2]}], {n, 50}]
%Y A303481 Cf. A303385.
%K A303481 nonn,easy
%O A303481 1,3
%A A303481 _Wesley Ivan Hurt_, Apr 24 2018