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A130641
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The first entry of the vector v[n]=M[n]v[n-1], where M[n] is a 7 X 7 matrix M[n] = [[n, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0]] and v[0] is the column vector [0, 0, 0, 0, 0, 0, 1].
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0
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0, 1, 2, 6, 24, 120, 720, 5040, 40321, 362891, 3628916, 39918100, 479017320, 6227225880, 87181167360, 1307717550721, 20923481174427, 355699183594175, 6402585344613250, 121649122026669070, 2432982446760607280
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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MATHEMATICA
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M[n_] := {{n, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0}}; v[0] = {0, 0, 0, 0, 0, 0, 1}; v[n_] := M[n].v[n - 1]; Table[v[n][[1]], {n, 0, 30}]
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CROSSREFS
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Sequence in context: A159333 A165233 A074166 * A129655 A114796 A114790
Adjacent sequences: A130638 A130639 A130640 * A130642 A130643 A130644
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula, Jun 19 2007
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EXTENSIONS
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Edited by N. J. A. Sloane, Jul 23 2007
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STATUS
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approved
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