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A027831
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Expansion of 1/(1-4*x+2*x^2+4*x^3-2*x^4).
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1
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1, 4, 14, 44, 134, 400, 1184, 3488, 10252, 30096, 88296, 258960, 759368, 2226560, 6528256, 19140352, 56117392, 164528960, 482376160, 1414257856, 4146398048, 12156629760, 35641443840, 104495439360
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,-2,-4,2)
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FORMULA
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a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) +2*a(n-4). Vincenzo Librandi, Jun 20 2012
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MATHEMATICA
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LinearRecurrence[{4, -2, -4, 2}, {1, 4, 14, 44}, 40] (* Vincenzo Librandi, Jun 20 2012 *)
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PROG
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(MAGMA) I:=[1, 4, 14, 44]; [n le 4 select I[n] else 4*Self(n-1)-2*Self(n-2)-4*Self(n-3)+2*Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jun 20 2012
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CROSSREFS
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Sequence in context: A094309 A000300 A005323 * A097894 A065835 A198643
Adjacent sequences: A027828 A027829 A027830 * A027832 A027833 A027834
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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