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A067157 Number of regions in regular n-gon which are 10-gons. +0
10
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87, 0, 62, 0, 0, 0, 0, 0, 74, 0, 0, 0, 41, 0, 0, 44, 0, 0, 235, 48, 147, 100, 51, 0, 159, 54, 110, 56, 114, 58, 177, 0, 183, 62, 378, 256, 195, 0, 134, 136, 621, 210, 71, 144, 438, 222, 750, 76, 385, 78, 1185, 80, 648, 82 (list; graph; listen)
OFFSET

10,20

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

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(29)=87 because drawing the regular 29-gon with all its diagonals yields 87 10-gons.

CROSSREFS

Cf. A007678, A067169, A064869, A067151, A067152, A067153, A067154, A067155, A067156, A067158, A067159.

Sequence in context: A017749 A093286 A093243 this_sequence A077511 A036190 A143767

Adjacent sequences: A067154 A067155 A067156 this_sequence A067158 A067159 A067160

KEYWORD

easy,nonn

AUTHOR

Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 06 2002

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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