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Search: id:A130591
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| A130591 |
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A 4 X 4 vector matrix Markov doubly recursive sequence: Polynomial:-8 + 3 n + 24 x - 4 n x - 22 x^2 + n x^2 + 8 x^3 + x^4 Matrix : M(n) ={{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {8 - 3 n, -24 + 4 n, 22 - n, -8}}. |
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+0
1
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| 1, -8, 84, -836, 8617, -87016, 869799, -8590272, 83796504, -806946224, 7666848877, -71824221768, 662987321281, -6025366832504, 53867639536838, -473272010699496, 4081721963157687, -34511324853373512, 285631757521047043, -2309922250334330096, 18213524452315660914
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OFFSET
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1,2
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COMMENT
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Starting vector chosen instead of {0,0,0,1} to eleminate intial zeros.
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FORMULA
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M(n) ={{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {8 - 3 n, -24 + 4 n, 22 - n, -8}}; Starting vector:v(0)={1, -8, 84, -836}; v(n)=M(n).v(n-1); a(n) = v(n)[[1]]
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MATHEMATICA
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M[0] = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {8, -24, 22, 8}}; M[n_] := {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {8 - 3 n, -24 + 4 n, 22 - n, -8}}; v[0] ={1, -8, 84, -836}; v[n_] := v[n] = M[n].v[n - 1]; a = Table[v[n][[1]], {n, 0, 30}]
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CROSSREFS
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Sequence in context: A069635 A069620 A039939 this_sequence A048665 A005797 A052659
Adjacent sequences: A130588 A130589 A130590 this_sequence A130592 A130593 A130594
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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 16 2007
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