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Search: id:A107376
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| A107376 |
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a(n) = 7*a(n-1)-7*a(n-3)-a(n-4). |
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+0
1
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| 0, 1, 1, 2, 7, 41, 272, 1853, 12677, 86794, 594315, 4069613, 27867056, 190822393, 1306675145, 8947587010, 61269485263, 419548848433, 2872902154816, 19672481099861, 134709256274733, 922434929990986, 6316464240083059
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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G.f.: x*(1-6*x-5*x^2)/(1-7*x+7*x^3+x^4). [Sep 28 2009]
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MATHEMATICA
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m = 7 M = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {-1, -m, 0, m}} Expand[Det[M - x*IdentityMatrix[4]]] NSolve[Det[M - x*IdentityMatrix[4]] == 0, x] v[1] = {0, 1, 1, 2}; v[n_] := v[n] = M.v[n - 1]; digits = 50; a = Table[v[n][[1]], {n, 1, digits}]
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CROSSREFS
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Sequence in context: A006455 A130715 A106871 this_sequence A087804 A006677 A101390
Adjacent sequences: A107373 A107374 A107375 this_sequence A107377 A107378 A107379
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KEYWORD
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nonn,easy
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 24 2005
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EXTENSIONS
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Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009
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