A067155 Number of regions in regular n-gon which are octagons when all its diagonals are drawn.

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

Scott R. Shannon, Table of n, a(n) for n = 8..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(13)=13 because drawing the regular 13-gon and all its diagonals yields 13 octagons.

Crossrefs

Cf. A007678, A067167, A064869, A067151, A067152, A067153, A067154, A067156, A067157, A067158, A067159.

Sequence in context: A094896 A277118 A200065 * A277255 A255288 A221341

Adjacent sequences: A067152 A067153 A067154 * A067156 A067157 A067158

Keyword

nonn

Author

Sascha Kurz, Jan 06 2002

Extensions

a(65) and beyond by Scott R. Shannon, Dec 04 2021

Status

approved