A333642 Number of regions in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and three equally spaced points along the diameter (a total of n+3 points). See Comments for precise definition.
2, 8, 20, 43, 80, 139, 224, 324, 510, 730, 992, 1373, 1820, 2187, 3040, 3844, 4720, 5916, 7220, 8498, 10472, 12463, 14570, 17278, 20150, 23130, 26964, 30961, 34688, 40265, 45632, 51138, 57970, 65008, 72322, 80979, 89984, 99197, 110240, 121570, 132896, 146818
Offset: 1
Keywords
Links
- Lars Blomberg, Table of n, a(n) for n = 1..100
- Scott R. Shannon, Illustration for n = 2.
- Scott R. Shannon, Illustration for n = 3.
- Scott R. Shannon, Illustration for n = 4.
- Scott R. Shannon, Illustration for n = 5.
- Scott R. Shannon, Illustration for n = 7.
- Scott R. Shannon, Illustration for n = 10.
- Scott R. Shannon, Illustration for n = 12.
- Scott R. Shannon, Illustration for n = 15.
- Scott R. Shannon, Illustration for n = 17.
- Scott R. Shannon, Illustration for n = 19.
- Scott R. Shannon, Illustration for n = 20.
- Scott R. Shannon, Illustration for n = 10 with random distance-based coloring.
- Scott R. Shannon, Illustration for n = 15 with random distance-based coloring.
- Scott R. Shannon, Illustration for n = 19 with random distance-based coloring.
- Scott R. Shannon, Illustration for n = 20 with random distance-based coloring.
- Wikipedia, Semicircle.
Crossrefs
Extensions
a(21) and beyond from Lars Blomberg, May 03 2020
Comments