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A337330 Irregular table read by rows: row n gives the number of 6-gon to k-gon contacts, with k>=6, for a regular n-gon with all diagonals drawn, with n>=25.

%I A337330 #15 Jan 11 2021 23:13:32
%S A337330 50,0,108,0,0,0,124,32,66,136,70,144,148,76,390,120,328,82,42,86,86,0,
%T A337330 540,92,92,188,94,94,0,196,98,750,100,816,416,104,1272,432,220,110,
%U A337330 728,570,570,406,348,116,1062,354,300,854,366,122,1488,124,1512,252,126,576,2080,130,260,2112
%N A337330 Irregular table read by rows: row n gives the number of 6-gon to k-gon contacts, with k>=6, for a regular n-gon with all diagonals drawn, with n>=25.
%C A337330 For n=3 to n=24 there are no n-gons that have 6-gon to k-gon contacts, where k>=6, so the table starts at n=25.
%C A337330 See A333654 for the number of 3-gon to k-gon contacts, with k>=3.
%C A337330 See A335614 for the number of 4-gon to k-gon contacts, with k>=4.
%C A337330 See A335646 for the number of 5-gon to k-gon contacts, with k>=5.
%C A337330 See A007678 for the number of regions and images of other n-gons.
%H A337330 Scott R. Shannon, <a href="/A337330/a337330.png">Image for n=25 with edge-number coloring</a>. This is the first n-gon with 6-gon to 6-gon contacts.
%H A337330 Scott R. Shannon, <a href="/A337330/a337330_1.png">Image for n=25 with random distance-based coloring</a>.
%e A337330 The table begins:
%e A337330 .
%e A337330 50;
%e A337330 0;
%e A337330 108;
%e A337330 0;
%e A337330 0;
%e A337330 0;
%e A337330 124;
%e A337330 32;
%e A337330 66;
%e A337330 136;
%e A337330 70;
%e A337330 144;
%e A337330 148;
%e A337330 76;
%e A337330 390;
%e A337330 120;
%e A337330 328, 82;
%e A337330 42;
%Y A337330 Cf. A333654 (3-gon contacts), A335614 (4-gon contacts),  A335646 (5-gon contacts), A007678, A135565, A007569, A062361, A331450, A331451.
%K A337330 nonn,tabf
%O A337330 25,1
%A A337330 _Scott R. Shannon_, Aug 23 2020
%E A337330 a(34) and beyond from _Scott R. Shannon_, Jan 11 2021