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A271449 Greatest number of edges in a simple polygon on an n X n grid with no two edges parallel or perpendicular. 2

%I

%S 0,3,6,9,12,18

%N Greatest number of edges in a simple polygon on an n X n grid with no two edges parallel or perpendicular.

%C a(8) >= 22, see picture in Links.

%H Giovanni Resta, <a href="/A271449/a271449.png">Illustration of a(3)-a(7) and a(8) >= 22</a>

%e a(5)=9 because of this polygon on a 5 X 5 grid:

%e 2 . . . .

%e . . 1 3 5

%e . . 4 . 7

%e . 6 . . 8

%e 9 . . . .

%e See Links for other examples.

%Y Cf. A255981.

%K nonn,more

%O 2,2

%A _Giovanni Resta_, May 05 2016

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Last modified November 21 03:01 EST 2018. Contains 317427 sequences. (Running on oeis4.)