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Search: id:A122008
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| A122008 |
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3 X 3 addition table taken as vector matrix Markov to give three parallel sequences: characteristic polynomial: -(-3+x)*(-3+x^2). |
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+0
1
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| 1, 0, 5, 6, 33, 72, 261, 702, 2241, 6480, 19845, 58806, 177633, 530712, 1595781, 4780782, 14353281, 43040160, 129153285, 387400806, 1162300833, 3486725352, 10460471301, 31380882462, 94143533121, 282429005040, 847289672325
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Limit[a[n+1]/a[n],n->Infinity]=3
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REFERENCES
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"Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58.
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FORMULA
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M = {{0, 1, 2}, {1, 2, 0}, {2, 0, 1}} v[1] = {1, 0, 0} v[n_] := v[n] = M.v[n - 1] a(n) = v[n][[1]]
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MATHEMATICA
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M = {{0, 1, 2}, {1, 2, 0}, {2, 0, 1}} v[1] = {1, 0, 0} v[n_] := v[n] = M.v[n - 1] a1 = Table[v[n][[1]], {n, 1, 50}]
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CROSSREFS
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Sequence in context: A166023 A137762 A151506 this_sequence A036254 A047170 A137254
Adjacent sequences: A122005 A122006 A122007 this_sequence A122009 A122010 A122011
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 11 2006
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