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A133340 A twelve vertex {3,6,3} prism (hexagon connected to two triangles) graph substitution. 0
1, 3, 6, 7, 1, 2, 8, 9, 1, 5, 9, 12, 1, 4, 6, 10, 2, 3, 4, 5, 1, 3, 6, 7, 3, 7, 9, 11, 3, 4, 8, 12, 1, 3, 6, 7, 1, 4, 6, 10, 2, 6, 8, 11, 5, 6, 11, 12, 1, 3, 6, 7, 2, 5, 7, 10, 3, 7, 9, 11, 7, 8, 10, 12, 1, 3, 6, 7, 1, 2, 8, 9, 1, 5, 9, 12, 1, 4, 6, 10, 2, 3, 4, 5, 1, 2, 8, 9, 2, 5, 7, 10, 2, 6, 8, 11, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Although designed to be similar to the {9,3} Prism in shape the {3,6,3} polyhedron sounds better to my ear.

LINKS

Table of n, a(n) for n=1..97.

FORMULA

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

MATHEMATICA

Clear[s] s[1] = {2, 3, 4, 5}; s[2] = {1, 3, 6, 7}; s[3] = {1, 2, 8, 9}; s[ 4] = {1, 5, 9, 12}; s[5] = {1, 4, 6, 10}; s[6] = {2, 5, 7, 10}; s[7] = {2, 6, 8, 11}; s[8] = {3, 7, 9, 11}; s[9] = {3, 4, 8, 12}; s[10] = {5, 6, 11, 12}; s[11] = {7, 8, 10, 12}; s[12] = {4, 9, 10, 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: A137497 A032338 A081814 * A133329 A275696 A080260

Adjacent sequences:  A133337 A133338 A133339 * A133341 A133342 A133343

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Oct 19 2007

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)