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A092279
a(n) = floor(7*n/16) + 5.
1
5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 33, 34, 34, 35, 35, 36, 36, 36, 37, 37
OFFSET
0,1
COMMENTS
Number of vertex guards needed to see both interior and exterior of simple orthogonal polygon with n nodes.
REFERENCES
J. O'Rourke, Art Gallery Theorems and Algorithms, Oxford Univ. Press, 1987, p. 157
LINKS
FORMULA
Empirical g.f.: -(4*x^16-x^14-x^12-x^10-x^7-x^5-x^3-5) / (x^17-x^16-x+1). - Colin Barker, Jul 30 2013
MATHEMATICA
Table[Floor[7 n / 16] + 5, {n, 0, 80}] (* Vincenzo Librandi, Oct 04 2017 *)
PROG
(Magma) [Floor(7*n/16)+5: n in [0..80]]; // Vincenzo Librandi, Oct 04 2017
CROSSREFS
Sequence in context: A341600 A283076 A046263 * A159002 A127934 A205236
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 18 2004
STATUS
approved