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.

A303479 Total volume of the family of rectangular prisms with dimensions p, q, and |q - p| where p divides q, n = p + q and p < q.

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%I A303479 #10 Nov 25 2024 05:00:28
%S A303479 0,0,2,6,12,36,30,90,110,168,90,560,132,396,756,930,240,1692,306,2436,
%T A303479 1876,1140,462,6120,2052,1656,3620,5928,756,11304,870,8370,6084,2976,
%U A303479 8988,22070,1260,3780,9364,26220,1560,27720,1722,18912,29304,5676,2070
%N A303479 Total volume of the family of rectangular prisms with dimensions p, q, and |q - p| where p divides q, n = p + q and p < q.
%H A303479 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A303479 a(n) = Sum_{i=1..floor((n-1)/2)} i * (n-i) * (n-2*i) * (floor((n-i)/i) - floor((n-i-1)/i)).
%t A303479 Table[Sum[i (n - i) (n - 2 i) (Floor[(n - i)/i] - Floor[(n - i - 1)/i]), {i, Floor[(n - 1)/2]}], {n, 50}]
%Y A303479 Cf. A303385.
%K A303479 nonn,easy
%O A303479 1,3
%A A303479 _Wesley Ivan Hurt_, Apr 24 2018