A133302 12 vertex cube torus graph substitution (to produce 12 note sequences).

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

Offset

1,2

Comments

This graph is like a tesseract with the inner cube taken as a square. The graph has genus one.

Links

Table of n, a(n) for n=1..93.

Formula

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

Mathematica

Clear[s, p] s[1] = {2, 4, 5, 9}; s[2] = {1, 3, 6, 10}; s[3] = {2, 4, 7, 10}; s[4] = {1, 3, 8, 12}; s[5] = {1, 6, 8, 9}; s[6] = {2, 5, 7, 10}; s[7] = {3, 6, 8, 11}; s[8] = {4, 5, 7, 12}; s[9] = {1, 5, 10, 12}; s[10] = {2, 6, 9, 11}; s[11] = {3, 7, 10, 12}; s[12] = {4, 8, 9, 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: A104618 A104616 A104614 * A104615 A194047 A194035

Adjacent sequences: A133299 A133300 A133301 * A133303 A133304 A133305

Keyword

nonn,uned

Author

Roger L. Bagula, Oct 17 2007

Status

approved