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Search: id:A122007
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| A122007 |
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3 X 3 addition table taken as vector matrix Markov to give three parallel sequences: third sequence characteristic polynomial: -(-3+x)*(-3+x^2). |
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+0
1
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| 0, 2, 2, 12, 24, 90, 234, 756, 2160, 6642, 19602, 59292, 176904, 532170, 1593594, 4785156, 14346720, 43053282, 129133602, 387440172, 1162241784, 3486843450, 10460294154, 31381236756, 94143001680, 282430067922, 847288078002
(list; graph; listen)
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OFFSET
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1,2
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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][[3]]
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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][[3]], {n, 1, 50}]
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CROSSREFS
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Sequence in context: A140431 A092900 A164961 this_sequence A137782 A131384 A052612
Adjacent sequences: A122004 A122005 A122006 this_sequence A122008 A122009 A122010
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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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