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A108012
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a(n)= 8*a(n-1) -16*a(n-2) +4*a(n-4).
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0
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0, 4, 18, 76, 320, 1360, 5832, 25200, 109568, 478784, 2100512, 9244352, 40784896, 180284672, 798121088, 3537391360, 15692333056, 69661541376, 309407486464, 1374824795136, 6110847909888, 27168232722432, 120809925167104
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 2*x*(-2+7*x+2*x^2)/( (2*x^2+4*x-1) * (2*x^2-4*x+1)). [Sep 28 2009]
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MATHEMATICA
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M = {{0, 0, 0, 2}, {1, 4, 0, 0}, {0, 2, 0, 0}, {0, 0, 1, 4}} v[1] = {0, 1, 1, 2}; v[n_] := v[n] = M.v[n - 1]; digits = 50; a = Table[v[n][[1]], {n, 1, digits}]
LinearRecurrence[{8, -16, 0, 4}, {0, 4, 18, 76}, 30] (* Harvey P. Dale, Aug 11 2017 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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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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STATUS
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approved
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