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A067153 Number of regions in regular n-gon which are hexagons. 11
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 (list; graph; refs; listen; history; text; internal format)
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. 135-156.

LINKS

Table of n, a(n) for n=6..53.

Sascha Kurz, m-gons in regular n-gons

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).

Sequences formed by drawing all diagonals in regular polygon

EXAMPLE

a(9)=9 because drawing the regular 9-gon 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

easy,nonn

AUTHOR

Sascha Kurz, Jan 06 2002

STATUS

approved

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Last modified May 10 14:04 EDT 2021. Contains 343770 sequences. (Running on oeis4.)