

A133302


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


0



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
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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



