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Search: id:A123950
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| A123950 |
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Vector matrix Markov of Bezier -Bernstein 3 X 3 matrix ( three point matrix): characteristic polynomial: -2 + 3 x + 3 x^2 - x^3. |
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+0
1
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| 0, 1, 1, 6, 19, 73, 264, 973, 3565, 13086, 48007, 176149, 646296, 2371321, 8700553, 31923030, 117128107, 429752305, 1576795176, 5785386229, 21227039605, 77883687150, 285761407807, 1048481205661, 3846960466104, 14114802199681
(list; graph; listen)
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OFFSET
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1,4
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REFERENCES
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Over and Over Again, Chang and Sederberg, MAA, 1997 chapter 30
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FORMULA
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M = {{0, 0, 1}, {0, 2, -2}, {1, -2, 1}}; 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, 0, 1}, {0, 2, -2}, {1, -2, 1}}; 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: A123947 A123948 A123949 this_sequence A123951 A123952 A123953
Sequence in context: A055916 A060579 A100191 this_sequence A026545 A041937 A111510
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KEYWORD
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nonn,uned,probation
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AUTHOR
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Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Oct 26 2006
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