A067157 Number of regions in regular n-gon which are 10-gons.
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, 830, 336, 935
Offset: 10
Keywords
Examples
a(29)=87 because drawing the regular 29-gon with all its diagonals yields 87 10-gons.
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 = 10..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
Crossrefs
Extensions
a(83) and beyond by Scott R. Shannon, Dec 04 2021