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 A255981 a(n) = greatest number of edges in a simple polygon on an n X n grid with no two edges parallel. 2
 3, 5, 8, 12, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Worthy of consideration to introduce slopes in the math classroom. a(7) >= 23 and a(8) >= 29, see illustration in Links. LINKS Table of n, a(n) for n=2..6. Hiroaki Yamanouchi, Examples Giovanni Resta, Illustration of a(7)>=23 and a(8)>=29 EXAMPLE a(3) = 5 because of this quadrilateral in a 3 x 3 square: 1 2 . . 4 . 5 . 3 a(4) = 8 because of this polygon: 1 3 . 4 . . 2 6 . . 5 7 . 8 . . CROSSREFS Cf. A271449. Construction perhaps related to construction of Costas arrays: A008404. Sequence in context: A094913 A265060 A320849 * A020678 A310034 A014811 Adjacent sequences: A255978 A255979 A255980 * A255982 A255983 A255984 KEYWORD nonn,more AUTHOR Gordon Hamilton, Mar 13 2015 EXTENSIONS a(5)-a(6) corrected by Hiroaki Yamanouchi, Mar 14 2015 STATUS approved

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Last modified June 8 14:02 EDT 2023. Contains 363165 sequences. (Running on oeis4.)