login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

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: A046271 A283076 A046263 * A159002 A127934 A205236

Adjacent sequences:  A092276 A092277 A092278 * A092280 A092281 A092282

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 18 2004

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 19 16:56 EST 2018. Contains 299356 sequences. (Running on oeis4.)