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A015529
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Expansion of x/(1 - 3*x - 11*x^2).
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11
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0, 1, 3, 20, 93, 499, 2520, 13049, 66867, 344140, 1767957, 9089411, 46715760, 240130801, 1234265763, 6344236100, 32609631693, 167615492179, 861552425160, 4428427689449, 22762359745107, 116999783819260, 601385308653957, 3091153547973731
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = 3*a(n-1) + 11*a(n-2).
a(n) = -22^n*(A^n - B^n)/sqrt(53) where A = -1/(3+sqrt(53)) and B = 1/(sqrt(53)-3). - R. J. Mathar, Apr 29 2008
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MATHEMATICA
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PROG
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(Sage) [lucas_number1(n, 3, -11) for n in range(0, 22)] # Zerinvary Lajos, Apr 22 2009
(Magma) [n le 2 select n-1 else 3*Self(n-1) + 11*Self(n-2): n in [1..30] ]; // Vincenzo Librandi, Nov 12 2012
(PARI) x='x+O('x^30); concat([0], Vec(x/(1-3*x-11*x^2))) \\ G. C. Greubel, Jan 01 2018
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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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STATUS
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approved
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