A329713 The number of regions inside a heptagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

50, 868, 5594, 18396, 48462, 101794, 195714, 336504, 549704, 841890, 1249676, 1774612, 2468572, 3328234, 4414054, 5725034, 7336855, 9233098, 11513419, 14149296, 17254434, 20805554, 24928380, 29573348, 34902155, 40861422, 47613161

Offset

1,1

Comments

The terms are from numeric computation - no formula for a(n) is currently known.

Links

Table of n, a(n) for n=1..27.

Scott R. Shannon, Heptagon regions for n = 1.

Scott R. Shannon, Heptagon regions for n = 2.

Scott R. Shannon, Heptagon regions for n = 3.

Scott R. Shannon, Heptagon regions for n = 4.

Scott R. Shannon, Heptagon regions with random distance-based coloring for n = 1.

Scott R. Shannon, Heptagon regions with random distance-based coloring for n = 2.

Scott R. Shannon, Heptagon regions with random distance-based coloring for n = 3.

Wikipedia, Heptagon.

Crossrefs

Cf. A329714 (n-gons), A333112 (edges), A333113 (vertices), A007678, A092867, A331452, A331931.

Sequence in context: A104672 A086027 A110929 * A101929 A006360 A324217

Adjacent sequences: A329710 A329711 A329712 * A329714 A329715 A329716

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Mar 07 2020

Extensions

a(8)-a(27) from Lars Blomberg, May 13 2020

Status

approved