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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 (list; graph; refs; listen; history; text; internal format)
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 distance-based coloring for n = 2.

Scott R. Shannon, Octagon regions using random distance-based coloring for n = 3.

Scott R. Shannon, Octagon regions using random distance-based coloring for n = 4.

Wikipedia, Octagon.

CROSSREFS

Cf. A333076 (n-gons), 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

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Last modified February 25 22:37 EST 2021. Contains 341618 sequences. (Running on oeis4.)