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Search: id:A129997
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| A129997 |
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Doubly recursive vector matrix Markov of 2 X 2 type with characterostic polynomials: (4 - n - 4 x + x^2). |
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+0
1
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| 0, 1, 4, 14, 52, 208, 884, 3952, 18460, 89648, 450892, 2341456, 12522068, 68819920, 387978292, 2240112368, 13228210684, 79794191152, 491143503500, 3081692690128, 19693923313012, 128082776294096, 847127801497588
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Single level sequence that is polynomial equalivalent to the Cartan matrix type: C(n)={{2,-n},{-1,2}} or {{2,-1},{-n,2}} which both give two level output sequence.
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FORMULA
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M(n) = {{0, 1}, {-4 + n, 4}} v(n) = M(n).v(m - 1) a(n) = v(n)[[1]]
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MATHEMATICA
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M[n_] := {{0, 1}, {-4 + n, 4}} v[0] = {0, 1}; v[n_] := v[n] = M[n].v[m - 1] a = Table[v[m][[1]], {m, 0, 30}]
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CROSSREFS
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Sequence in context: A047033 A017947 A052710 this_sequence A125783 A090319 A047118
Adjacent sequences: A129994 A129995 A129996 this_sequence A129998 A129999 A130000
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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 15 2007
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