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Search: id:A130592
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| A130592 |
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A 6 X 6 vector matrix Markov doubly recursive sequence: Polynomial:8 - 5 n - 72 x + 20 n x + 146 x^2 - 21 n x^2 - 128 x^3 + 8 n x^3 + 56 x^4 - n x^4 - 12 x^5 + x^6 Matrix : M(n) ={{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, -1*{8 - 5 n, -72 + 20 n, 146 - 21 n, -128 + 8 n, 56 - n, -12}};. |
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+0
1
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| 1, 12, 90, 548, 2986, 15284, 74309, 346716, 1571119, 6992940, 30875360, 136381936, 607183046, 2742567784, 12641133025, 59750365748, 290733288513, 1460096920092, 7578070997402, 40648251605280, 225116682011442
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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 {0,0,0,0,0,1} to eleminate initial zeros.
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FORMULA
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M(n) ={{{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, { 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, { 0, 0, 0, 0, 0, 1}, -1*{8 - 5 n, -72 + 20 n, 146 - 21 n, -128 + 8 n, 56 - n, -12}}; Starting vector:v(0)={1, 12, 90, 548, 2986, 15284}; 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}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, -1*{8, -72, 146, -128, 56, -12}}; M[n_] := {{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, -1*{8 - 5 n, -72 + 20 n, 146 - 21 n, -128 + 8 n, 56 - n, -12}}; v[0] = {1, 12, 90, 548, 2986, 15284}; 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: A036216 A022640 A090749 this_sequence A002544 A093801 A135173
Adjacent sequences: A130589 A130590 A130591 this_sequence A130593 A130594 A130595
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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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