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a(n) is the number of edges in the central polygon formed in a square by dividing each of its sides into n equal parts giving a total of 4*n nodes and drawing straight line segments from node k to node (k+n+1) mod 4*n, 0 <= k < 4*n.
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%I #6 Jun 04 2020 08:18:38

%S 0,8,4,8,12,16,12,16,20,16,20,24,28,24,28,32,28,32,36,32,36,40,44,40,

%T 44,48,44,48,52,56,52,56,60,56,60,64,68,64,68,72,68,72,76,72,76,80,84,

%U 80,84,88,84,88,92,96,92,96,100,96,100,104,100,104,108,112

%N a(n) is the number of edges in the central polygon formed in a square by dividing each of its sides into n equal parts giving a total of 4*n nodes and drawing straight line segments from node k to node (k+n+1) mod 4*n, 0 <= k < 4*n.

%C For n=1 there is no central polygon.

%C The number of edges of the central polygon tends to grow as n increases, whereas for n = 16..500 the polygon with next-to-most edges has 8 of them.

%C See A335350 for illustrations.

%H Lars Blomberg, <a href="/A335354/b335354.txt">Table of n, a(n) for n = 1..500</a>

%Y Cf. A335350 (regions), A335351 (edges), A335352 (vertices), A335353 (n-gons), A255011, A335057, A335192.

%K nonn

%O 1,2

%A _Lars Blomberg_, Jun 04 2020