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.

A347751 Number of finite edges in the graph formed when every pair of vertices of a row of n adjacent congruent rectangles are joined by an infinite line.

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%I A347751 #12 Sep 12 2021 08:41:05
%S A347751 0,8,36,124,300,664,1200,2108,3388,5232,7568,10852,14892,20288,26704,
%T A347751 34540,43812,55400,68584,84684,103004,124216,147888,175820,206788,
%U A347751 242424,281560,325708,374148,429416,489000,556412,629804,710536,797280,892564,994588,1107744,1228432,1359292,1498788
%N A347751 Number of finite edges in the graph formed when every pair of vertices of a row of n adjacent congruent rectangles are joined by an infinite line.
%C A347751 See A344993 and A347750 for images of the rectangles.
%F A347751 a(n) = A344993(n) + A347750(n) - 1.
%e A347751 a(1) = 8 as connecting the four vertices of a single rectangle forms four new edges inside the rectangle, giving a total of 4 + 4 = 8 total edges.
%e A347751 a(2) = 36 as connecting the six vertices of two adjacent rectangles forms twenty-two edges inside the rectangles while also forming eight edges outside the rectangles. The total number of edges is then 6 + 22 + 8 = 36.
%Y A347751 Cf. A344993 (number of polygons), A347750 (number of intersections), A331757 (number of edges on or inside the rectangles).
%K A347751 nonn
%O A347751 0,2
%A A347751 _Scott R. Shannon_ and _N. J. A. Sloane_, Sep 12 2021