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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.

A255981 a(n) = greatest number of edges in a simple polygon on an n X n grid with no two edges parallel.

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%I A255981 #16 May 05 2016 10:54:42
%S A255981 3,5,8,12,17
%N A255981 a(n) = greatest number of edges in a simple polygon on an n X n grid with no two edges parallel.
%C A255981 Worthy of consideration to introduce slopes in the math classroom.
%C A255981 a(7) >= 23 and a(8) >= 29, see illustration in Links.
%H A255981 Hiroaki Yamanouchi, <a href="/A255981/a255981.pdf">Examples</a>
%H A255981 Giovanni Resta, <a href="/A255981/a255981.png">Illustration of a(7)>=23 and a(8)>=29</a>
%e A255981 a(3) = 5 because of this quadrilateral in a 3 x 3 square:
%e A255981                     1 2 .
%e A255981                     . 4 .
%e A255981                     5 . 3
%e A255981 a(4) = 8 because of this polygon:
%e A255981                    1 3 . 4
%e A255981                    . . 2 6
%e A255981                    . . 5 7
%e A255981                    . 8 . .
%Y A255981 Cf. A271449. Construction perhaps related to construction of Costas arrays: A008404.
%K A255981 nonn,more
%O A255981 2,1
%A A255981 _Gordon Hamilton_, Mar 13 2015
%E A255981 a(5)-a(6) corrected by _Hiroaki Yamanouchi_, Mar 14 2015