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A133442 A geometrical graph substitution of a tess-tetrahedron embedded in a cube as an eight-"tone" all-naturals musical scale such that here the connections can be cut to isolate the tetrahedra. 0
3, 6, 8, 1, 3, 8, 1, 3, 6, 3, 6, 8, 1, 6, 8, 1, 3, 6, 3, 6, 8, 1, 6, 8, 1, 3, 8, 4, 5, 7, 2, 4, 7, 2, 4, 5, 4, 5, 7, 2, 5, 7, 2, 4, 5, 4, 5, 7, 2, 5, 7, 2, 4, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There is a definite difference in the music that the isolated tetrahedra gives compared to the connected ones.

LINKS

Table of n, a(n) for n=1..54.

FORMULA

p=0 such that: 1 -> {p*2, 3, 6, 8} 2 -> {p, 4, 5, 7} 3 -> {1, p*4, 6, 8} 4 -> {2, p*3, 5, 7} 5 -> {2, 4, p*6, 7} 6 -> {1, 3, p*5, 8} 7 -> {2, 4, 5, p*8} 8 -> {1, 3, 6, p*7}

MATHEMATICA

s[1] = {3, 6, 8};

s[2] = {4, 5, 7};

s[3] = {1, 6, 8};

s[4] = {2, 5, 7};

s[5] = {2, 4, 7};

s[6] = {1, 3, 8};

s[7] = {2, 4, 5};

s[8] = {1, 3, 6};

t[a_] := Flatten[s /@ a];

p[0] = {1, 2}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]];

p[3]

CROSSREFS

Sequence in context: A067697 A137128 A256372 * A133193 A200131 A298907

Adjacent sequences:  A133439 A133440 A133441 * A133443 A133444 A133445

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Nov 26 2007

STATUS

approved

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Last modified April 26 12:16 EDT 2019. Contains 322472 sequences. (Running on oeis4.)