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Search: id:A107789
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| A107789 |
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Four-symbol substitution with characteristic polynomial:(x^4-5*x^2+4. |
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+0
1
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| 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Even-odd alternating levels of {1,4} and {2,3}: This sequence related to x^2+x-2 characteristic polynomial by matrix doubling. Odd: N[Apply[Plus, aa]/Length[aa]]--->2.5 Even: N[Apply[Plus, aa]/Length[aa]]--->2.5
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FORMULA
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1->{2}, 2->{1, 1, 4}, 3->{4} 4->{2, 3, 3}
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MATHEMATICA
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s[1] = {2}; s[2] = {1, 1, 4}; s[3] = {4}; s[4] = {2, 3, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[9]
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CROSSREFS
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Cf. A001045, A076662.
Sequence in context: A071452 A081414 A094321 this_sequence A124064 A096916 A098014
Adjacent sequences: A107786 A107787 A107788 this_sequence A107790 A107791 A107792
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 11 2005
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