login
A067155
Number of regions in regular n-gon which are octagons when all its diagonals are drawn.
11
0, 0, 0, 0, 0, 13, 0, 0, 0, 34, 0, 38, 20, 0, 44, 23, 0, 50, 26, 108, 28, 145, 0, 217, 0, 264, 102, 315, 72, 407, 190, 546, 200, 656, 42, 903, 528, 810, 598, 1175, 288, 1078, 550, 1479, 780, 1166, 486, 1705, 784, 2451, 1276, 3068, 960, 3172, 1860, 4347, 2432, 4225, 2376, 4958, 2992, 3519, 2380
OFFSET
8,6
REFERENCES
B. Poonen and M. Rubinstein, Number of Intersection Points Made by the Diagonals of a Regular Polygon, SIAM J. Discrete Mathematics, Vol. 11, pp. 135-156.
LINKS
B. Poonen and M. Rubinstein, The number of intersection points made by the diagonals of a regular polygon, SIAM J. on Discrete Mathematics, Vol. 11, No. 1, 135-156 (1998).
EXAMPLE
a(13)=13 because drawing the regular 13-gon and all its diagonals yields 13 octagons.
KEYWORD
nonn
AUTHOR
Sascha Kurz, Jan 06 2002
EXTENSIONS
a(65) and beyond by Scott R. Shannon, Dec 04 2021
STATUS
approved