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A108104
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Sequence A000930 with terms repeated.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,7
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COMMENTS
| 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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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (0,1,0,0,0,1).
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FORMULA
| a(n) = a(n-2) + a(n-6), starting 1,1,1,1,1,1.
G.f.: (1+x)/(1-x^2-x^6).
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MATHEMATICA
| 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
| Sequence in context: A185326 A027190 A036824 * A173091 A029025 A035396
Adjacent sequences: A108101 A108102 A108103 * A108105 A108106 A108107
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 03 2005
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2006
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