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A015578
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Expansion of x/(1 - 8*x - 11*x^2).
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1
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0, 1, 8, 75, 688, 6329, 58200, 535219, 4921952, 45263025, 416245672, 3827858651, 35201571600, 323719017961, 2976969431288, 27376664647875, 251759980927168, 2315223158543969, 21291145058550600, 195796615212388459, 1800575517343164272, 16558366906081587225, 152273265939427504792
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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) = 8*a(n-1) + 11*a(n-2).
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MATHEMATICA
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Transpose[NestList[{Last[#], 8Last[#]+11First[#]}&, {0, 1}, 20]] [[1]] (* Harvey P. Dale, Mar 14 2011 *)
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PROG
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(Sage) [lucas_number1(n, 8, -11) for n in range(0, 19)] # Zerinvary Lajos, Apr 25 2009
(Magma) [n le 2 select n-1 else 8*Self(n-1) + 11*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 14 2012
(PARI) x='x+O('x^30); concat([0], Vec(x/(1-8*x-11*x^2))) \\ G. C. Greubel, Jan 06 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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