

A067153


Number of regions in regular ngon which are hexagons.


12



0, 0, 0, 9, 0, 22, 0, 39, 0, 105, 48, 136, 18, 190, 120, 462, 66, 644, 72, 875, 390, 1296, 952, 1595, 450, 1891, 1472, 3201, 2346, 3640, 2124, 4773, 2698, 5577, 4000, 7298, 3444, 7912, 6336, 10980, 6532, 10904, 7824, 14651, 12150, 16779, 13260, 20299, 13176, 21560, 18200, 26961, 21634, 29500
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OFFSET

6,4


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. 135156.


LINKS

Scott R. Shannon, Table of n, a(n) for n = 6..765
Sascha Kurz, mgons in regular ngons
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, 135156 (1998).
Sequences formed by drawing all diagonals in regular polygon


EXAMPLE

a(9)=9 because drawing the regular 9gon with all its diagonals yields 9 hexagons.


CROSSREFS

Cf. A007678, A067165, A064869, A067151, A067152, A067154, A067155, A067156, A067157, A067158, A067159.
Sequence in context: A299154 A070929 A007394 * A057405 A167354 A005066
Adjacent sequences: A067150 A067151 A067152 * A067154 A067155 A067156


KEYWORD

nonn


AUTHOR

Sascha Kurz, Jan 06 2002


EXTENSIONS

a(54) and beyond by Scott R. Shannon, Dec 04 2021


STATUS

approved



