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Search: id:A108104
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| 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 9, 9, 13, 13, 19, 19, 28, 28, 41, 41, 60, 60, 88, 88, 129, 129, 189, 189, 277, 277, 406, 406, 595, 595, 872, 872, 1278, 1278, 1873, 1873, 2745, 2745, 4023, 4023, 5896, 5896, 8641
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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The usual policy in the OEIS is not to include such "doubled" sequences. This is an exception. - N. J. A. Sloane (njas(AT)research.att.com).
Based on the morphism 1->{5}, 2->{6}, 3->{4}, 4->{2}, 5->{3}, 6->{1, 6}.
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FORMULA
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a(n) = a(n-2) + a(n-6). Characteristic polynomial x^6-x^4-1.
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MATHEMATICA
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s[1] = {5}; s[2] = {6}; s[3] = {4}; s[4] = {2}; s[5] = {3}; s[6] = {1, 2}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] a0 = Table[Length[p[i]], {i, 0, 50}]
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CROSSREFS
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Sequence in context: A026799 A027190 A036824 this_sequence A029025 A035396 A005138
Adjacent sequences: A108101 A108102 A108103 this_sequence A108105 A108106 A108107
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 03 2005
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2006
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