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Search: id:A123958
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| A123958 |
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A 3 X 3 vector matrix Markov based on a shifted Chebyshev recursive characteristic polynomial: -2 - 2 x - x^3 <- (-1 - 2 y - 2 y^2). |
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1
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| 0, 0, 1, 0, -2, -2, 4, 8, -4, -24, -8, 56, 64, -96, -240, 64, 672, 352, -1472, -2048, 2240, 7040, -384, -18560, -13312, 37888, 63744, -49152, -203264, -29184, 504832, 464896, -951296, -1939456, 972800, 5781504, 1933312, -13508608, -15429632, 23150592, 57876480, -15441920, -162054144, -84869120
(list; graph; listen)
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OFFSET
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1,5
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FORMULA
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M = {{0, 1, 0}, {0, 0, 1}, {-2, -2, 0}}; v[1] = {0, 0, 1}; 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, 0}, {0, 0, 1}, {-2, -2, 0}}; v[1] = {0, 0, 1}; 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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Adjacent sequences: A123955 A123956 A123957 this_sequence A123959 A123960 A123961
Sequence in context: A032522 A077964 A077968 this_sequence A048572 A121173 A101651
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KEYWORD
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uned,probation,sign
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AUTHOR
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Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Oct 27 2006
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