This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)