cp's OEIS Frontend

A335646 Irregular table read by rows: row n gives the number of 5-gon to k-gon contacts, with k>=5, for a regular n-gon with all diagonals drawn.

%I A335646 #27 Aug 29 2020 02:52:36
%S A335646 0,0,0,0,0,0,0,0,11,0,39,42,15,0,15,0,102,18,190,38,19,20,80,273,210,
%T A335646 21,154,44,529,322,69,144,750,350,598,156,26,1215,432,81,560,56,928,
%U A335646 406,29,0,0,0,29,300,60,2139,248,93,1568,704,64,1782,792,132
%N A335646 Irregular table read by rows: row n gives the number of 5-gon to k-gon contacts, with k>=5, for a regular n-gon with all diagonals drawn.
%C A335646 See A333654 for the number of 3-gon to k-gon contacts, with k>=3.
%C A335646 See A335614 for the number of 4-gon to k-gon contacts, with k>=4.
%C A335646 See A337330 for the number of 6-gon to k-gon contacts, with k>=6.
%C A335646 See A007678 for the number of regions and images of other n-gons.
%H A335646 Scott R. Shannon, <a href="/A335646/a335646.png">Image for n=11 with edge-number coloring</a>. This is the first n-gon with 5-gon to 5-gon contacts.
%H A335646 Scott R. Shannon, <a href="/A335646/a335646_2.png">Image for n=19 with edge-number coloring</a>. This is the first n-gon with 5-gon to 6-gon contacts. It is also the first n-gon with 7-gon to 7-gon contacts.
%H A335646 Scott R. Shannon, <a href="/A335646/a335646_1.png">Image for n=15 with edge-number coloring</a>. This is the first n-gon with 5-gon to 7-gon contacts.
%H A335646 Scott R. Shannon, <a href="/A335646/a335646_3.png">Image for n=29 with edge-number coloring</a>. This is the first n-gon with 5-gon to 11-gon contacts.
%H A335646 Scott R. Shannon, <a href="/A335646/a335646_4.png">Image for n=29 with random distance-based coloring</a>.
%e A335646 The table begins:
%e A335646 .
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 0;
%e A335646 11;
%e A335646 0;
%e A335646 39;
%e A335646 42;
%e A335646 15,0,15;
%e A335646 0;
%e A335646 102;
%e A335646 18;
%e A335646 190,38,19;
%e A335646 20,80;
%e A335646 273,210,21;
%e A335646 154,44;
%e A335646 529,322,69;
%e A335646 144;
%e A335646 750,350;
%e A335646 598,156,26;
%e A335646 1215,432,81;
%e A335646 560,56;
%e A335646 928,406,29,0,0,0,29;
%e A335646 300,60;
%e A335646 2139,248,93;
%e A335646 1568,704,64;
%e A335646 1782,792,132;
%Y A335646 Cf. A333654 (3-gon contacts), A335614 (4-gon contacts), A337330 (6-gon contacts), A007678, A135565, A007569, A062361, A331450, A331451.
%K A335646 nonn,tabf
%O A335646 3,9
%A A335646 _Scott R. Shannon_, Aug 23 2020