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Search: id:A121958
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| A121958 |
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Quadratic n^2-n-1 functional matrix Markov of the A001053 type. |
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+0
1
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| 0, 1, 1, 6, 67, 1279, 37158, 1524757, 83898793, 5958339060, 530376075133, 57816950528557, 7574550895316100, 1174113205724524057, 212522064787034170417, 44418285653695866141210
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Recursion equalivalent is: a[n]=(n^2-n-1)*a[n-1]+a[n-2] Gets large very fast.
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FORMULA
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M[n_] := {{0, 1}, {1, n^2 - n - 1} } v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a(n) = v[n][[1]]
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MATHEMATICA
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M[n_] := {{0, 1}, {1, n^2 - n - 1} } v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a = Table[v[n][[1]], {n, 1, 30}]
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CROSSREFS
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Cf. A001053.
Sequence in context: A073326 A024203 A073562 this_sequence A054746 A116005 A152390
Adjacent sequences: A121955 A121956 A121957 this_sequence A121959 A121960 A121961
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 02 2006
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