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Search: id:A107856
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| A107856 |
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A switched quadratic sequence with alternating limits as a vector Markov. |
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+0
1
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| 1, 1, 1, 0, 4, 4, 11, 7, 37, 30, 122, 92, 403, 311, 1331, 1020, 4396, 3376, 14519, 11143, 47953, 36810, 158378, 121568, 523087, 401519, 1727639, 1326120, 5706004, 4379884, 18845651, 14465767, 62242957, 47777190, 205574522, 157797332
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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Limit[a[n]/a[n-1],n->Infinity]-->{0.767592, 4.30278}
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FORMULA
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M[n_] := If [Mod[n, 2] == 0, {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 3, 0, -3}}, {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 0, 1, 1}}] v[n] = M[n].v[n - 1] a(n) = Abs[v[n][[1]]]
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MATHEMATICA
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M[n_] := If [Mod[n, 2] == 0, {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 3, 0, -3}}, {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 0, 1, 1}}] v[1] = {1, 1, 1, 0} v[n_] := v[n] = M[n].v[n - 1] a0 = Table[Abs[v[n][[1]]], {n, 1, 50}]
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CROSSREFS
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Sequence in context: A145598 A117881 A006343 this_sequence A128499 A048223 A014012
Adjacent sequences: A107853 A107854 A107855 this_sequence A107857 A107858 A107859
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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), Jun 12 2005
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