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Search: id:A107375
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| A107375 |
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a(n) = 6*a(n-1)-6*a(n-3)-a(n-4). |
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+0
1
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| 0, 1, 1, 2, 6, 29, 161, 928, 5388, 31333, 182269, 1060358, 6168762, 35887625, 208781333, 1214615068, 7066195896, 41108599753, 239155126777, 1391318970218, 8094196026894, 47089136800949, 273947751857609, 1593730016014072
(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*(1-5*x-4*x^2)/(1-6*x+6*x^3+x^4). [Sep 28 2009]
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MATHEMATICA
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m = 6 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: A126340 A136639 A027109 this_sequence A020126 A124529 A088957
Adjacent sequences: A107372 A107373 A107374 this_sequence A107376 A107377 A107378
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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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