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A105932 An eight-symbol substitution on an hypertetrahedron with four symbol connection per vertex. 1
1, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 2, 3, 4, 5, 1, 2, 4, 7, 1, 2, 3, 8, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This flow can be visualized in 3d by using a cube's vertices as the substitution for the eight points.

LINKS

Table of n, a(n) for n=0..104.

FORMULA

1->{2, 3, 4, 5}, 2->{1, 3, 4, 6}, 3->{1, 2, 4, 7}, 4->{1, 2, 3, 8}, 5->{1, 6, 7, 8}, 6->{2, 5, 7, 8}, 7->{3, 5, 6, 8}, 8->{4, 5, 6, 7}

MATHEMATICA

s[1]={2, 3, 4, 5}; s[2]={1, 3, 4, 6}; s[3]={1, 2, 4, 7}; s[4]={1, 2, 3, 8}; s[5]={1, 6, 7, 8}; s[6]={2, 5, 7, 8}; s[7]={3, 5, 6, 8}; s[8]={4, 5, 6, 7}; t[a_] := Join[a, Flatten[s/@a]]; p[0]={1}; p[1]=t[{1}]; p[n_]:=t[p[n-1]] a=Flatten[Table[p[n], {n, 0, 3}]]

CROSSREFS

Sequence in context: A322425 A053841 A010884 * A106652 A193106 A283370

Adjacent sequences:  A105929 A105930 A105931 * A105933 A105934 A105935

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Apr 26 2005

STATUS

approved

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Last modified December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)