

A333075


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


9



80, 1488, 9312, 31552, 83432, 174816, 339816, 584176, 953416, 1463936, 2173976, 3074784, 4294080, 5790816, 7664880, 9952944, 12757088, 16036096, 20013696, 24577760, 29973528, 36161472, 43314312, 51334672
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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..24.
Scott R. Shannon, Octagon regions for n = 1.
Scott R. Shannon, Octagon regions for n = 2.
Scott R. Shannon, Octagon regions for n = 3.
Scott R. Shannon, Octagon regions for n = 4.
Scott R. Shannon, Octagon regions using random distancebased coloring for n = 2.
Scott R. Shannon, Octagon regions using random distancebased coloring for n = 3.
Scott R. Shannon, Octagon regions using random distancebased coloring for n = 4.
Wikipedia, Octagon.


CROSSREFS

Cf. A333076 (ngons), A333109 (vertices), A333110 (edges), A007678, A092867, A331452, A331931.
Sequence in context: A204476 A151603 A199533 * A323962 A296189 A060623
Adjacent sequences: A333072 A333073 A333074 * A333076 A333077 A333078


KEYWORD

nonn,more


AUTHOR

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


EXTENSIONS

a(7)a(24) from Lars Blomberg, May 14 2020


STATUS

approved



