A133339 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}.

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, 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, 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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..98.

Formula

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};

Mathematica

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]

Crossrefs

Sequence in context: A251533 A295849 A003458 * A112267 A068985 A081391

Adjacent sequences: A133336 A133337 A133338 * A133340 A133341 A133342

Keyword

nonn,uned

Author

Roger L. Bagula, Oct 19 2007

Status

approved