login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 10

%I #18 May 14 2020 15:50:51

%S 80,1488,9312,31552,83432,174816,339816,584176,953416,1463936,2173976,

%T 3074784,4294080,5790816,7664880,9952944,12757088,16036096,20013696,

%U 24577760,29973528,36161472,43314312,51334672

%N 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.

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

%H Scott R. Shannon, <a href="/A333075/a333075.png">Octagon regions for n = 1</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_1.png">Octagon regions for n = 2</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_2.png">Octagon regions for n = 3</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_3.png">Octagon regions for n = 4</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_4.png">Octagon regions using random distance-based coloring for n = 2</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_5.png">Octagon regions using random distance-based coloring for n = 3</a>.

%H Scott R. Shannon, <a href="/A333075/a333075_6.png">Octagon regions using random distance-based coloring for n = 4</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Octagon">Octagon</a>.

%Y Cf. A333076 (n-gons), A333109 (vertices), A333110 (edges), A007678, A092867, A331452, A331931.

%K nonn,more

%O 1,1

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 07 2020

%E a(7)-a(24) from _Lars Blomberg_, May 14 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)