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Search: id:A122009
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| A122009 |
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3 X 3 from the Vandermonde matrix as vector matrix Markov to give three parallel sequences: characteristic polynomial: (2 - 15 x + 12 x^2 - x^3). |
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+0
1
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| 1, 1, 3, 23, 233, 2457, 26035, 276031, 2926761, 31032737, 329043491, 3488884359, 36993025417, 392241126601, 4158975906675, 44098080031919, 467576804036105, 4957768399767825, 52567764896736163, 557381806372388791
(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]=10.6031
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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 = {{1, 1, 1}, {1, 2, 4}, {1, 3, 9}} 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 = {{1, 1, 1}, {1, 2, 4}, {1, 3, 9}} 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: A007781 A068146 A162591 this_sequence A151433 A098681 A118790
Adjacent sequences: A122006 A122007 A122008 this_sequence A122010 A122011 A122012
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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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