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Search: id:A108012
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| A108012 |
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4 X 4 vector Markov with characteristic polynomial: x^4-8*x^3+16*x^2-4. |
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+0
1
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| 0, 4, 18, 76, 320, 1360, 5832, 25200, 109568, 478784, 2100512, 9244352, 40784896, 180284672, 798121088, 3537391360, 15692333056, 69661541376, 309407486464, 1374824795136, 6110847909888, 27168232722432, 120809925167104
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Real Valued roots: {{x -> -0.44949}, {x -> 0.585786}, {x -> 3.41421}, {x -> 4.44949}}
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FORMULA
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M = {{0, 0, 0, 2}, {1, 4, 0, 0}, {0, 2, 0, 0}, {0, 0, 1, 4}} v[n]=M.v[n-1] a(n) = v[n][[1]]
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MATHEMATICA
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M = {{0, 0, 0, 2}, {1, 4, 0, 0}, {0, 2, 0, 0}, {0, 0, 1, 4}} v[1] = {0, 1, 1, 2}; v[n_] := v[n] = M.v[n - 1]; digits = 50; a = Table[v[n][[1]], {n, 1, digits}]
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CROSSREFS
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Sequence in context: A066259 A084213 A048664 this_sequence A017958 A017959 A100069
Adjacent sequences: A108009 A108010 A108011 this_sequence A108013 A108014 A108015
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 30 2005
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