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Search: id:A121953
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| 0, 1, 1, 2, 4, 9, 22, 58, 163, 486, 1525, 5023, 17261, 61801, 229416, 882475, 3503041, 14349016, 60434172, 261785329, 1162598284, 5296140752, 24676349293, 117677694828, 572852174491, 2848941025165, 14438982057103, 74645318828781
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OFFSET
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1,4
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COMMENT
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2 X 2 matrix Markov version of A001053 M[n_] := {{0, 1}, {1, n}} v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a = Table[v[n][[1]], {n, 1, 30}]. From that it can be seen that this sequence is a 3 X 3 version of the 2 X 2 one.
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FORMULA
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M[n_] = {{0, 1, 0}, {0, 0, 1}, {1, n, 0}} v[1] = {0, 1, 1} v[n_] := v[n] = M[n].v[n - 1] a(n) = v[n][[1]]
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MATHEMATICA
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M[n_] = {{0, 1, 0}, {0, 0, 1}, {1, n, 0}} v[1] = {0, 1, 1} v[n_] := v[n] = M[n].v[n - 1] a = Table[v[n][[1]], {n, 1, 30}]
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CROSSREFS
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Cf. A001053.
Sequence in context: A099241 A124380 A059019 this_sequence A024427 A092920 A035053
Adjacent sequences: A121950 A121951 A121952 this_sequence A121954 A121955 A121956
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 01 2006
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