A067159 Number of regions in regular n-gon which are 12-gons.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 0, 53, 0, 0, 0, 0, 0, 59, 0, 61, 0, 63, 0, 65, 0, 0, 0, 0, 0, 0, 0, 73, 0, 225, 76, 0, 0, 0, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, 273, 0, 93, 0, 95, 0, 97, 0, 0, 0, 101, 102, 412

Offset

12,29

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

Scott R. Shannon, Table of n, a(n) for n = 12..765

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(40)=40 because drawing the regular 40-gon with all its diagonals yields 40 12-gons.

Crossrefs

Cf. A007678, A064869, A067151, A067152, A067153, A067154, A067155, A067156, A067157, A067158.

Sequence in context: A112950 A173364 A023931 * A292152 A331907 A247404

Adjacent sequences: A067156 A067157 A067158 * A067160 A067161 A067162

Keyword

nonn

Author

Sascha Kurz, Jan 06 2002

Extensions

a(104) and beyond by Scott R. Shannon, Dec 04 2021

Status

approved