A133339 - OEIS

%I #5 Sep 15 2013 02:42:21

%S 1,3,6,7,8,1,2,9,10,11,1,5,12,1,4,6,1,4,11,2,3,4,5,12,1,3,6,7,8,3,8,

%T 10,3,9,11,3,10,12,1,3,6,7,8,1,4,6,2,6,8,1,3,6,7,8,2,5,7,2,7,9,1,3,6,

%U 7,8,2,6,8,3,8,10,1,3,6,7,8,1,2,9,10,11,1,5,12,1,4,6,1,4,11,2,3,4,5,12,1,2,9

%N A twelve vertex {9,3} prism (9-gon (nonagon) connected to a triangle) graph substitution: fourth in the sequence: {6,6}->{7,5}->{8,3}->{9,3}.

%C As twelve tone sequences go, this one has the virtue of sounding worse than most! Even with a nice C3 rotational axis, it sounds worse than the rest to my ears.

%F 1-> {2, 3, 4, 5, 12}; 2->{1, 3, 6, 7, 8}; 3-> {1, 2,9, 10, 11}; 4->{1, 5, 12}; 5->{1, 4, 6}; 6-> {2, 5, 7}; 7-> {2, 6, 8}; 8-> {2, 7, 9}; 9-> {3, 8, 10}; 10-> {3, 9, 11}; 11-> {3, 10, 12}; 12-> {1, 4, 11};

%t Clear[s] s[1] = {2, 3, 4, 5, 12}; s[2] = {1, 3, 6, 7, 8}; s[3] = {1, 2, 9, 10, 11}; s[4] = {1, 5, 12}; s[5] = {1, 4, 6}; s[6] = {2, 5, 7}; s[7] = {2, 6, 8}; s[8] = {2, 7, 9}; s[9] = {3, 8, 10}; s[10] = {3, 9, 11}; s[11] = {3, 10, 12}; s[12] = {1, 4, 11}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[4]

%K nonn,uned

%O 1,2

%A _Roger L. Bagula_, Oct 19 2007