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A016241
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Expansion of 1/((1-x)*(1-6*x)*(1-7*x)).
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1
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1, 14, 141, 1246, 10277, 81270, 624877, 4710062, 34985973, 256995046, 1871524733, 13536029598, 97364345989, 697223254742, 4974599780109, 35386420442254, 251090274984725, 1777943916226758, 12567479361589405, 88703587219138430, 625312500662044581
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..20.
Index entries for linear recurrences with constant coefficients, signature (14, -55, 42).
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FORMULA
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a(0)=1, a(1)=14, a(n) = 13*a(n-1) - 42*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011
a(0)=1, a(1)=14, a(2)=141, a(n) = 14*a(n-1) - 55*a(n-2) + 42*a(n-3). - Harvey P. Dale, Aug 05 2011
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MATHEMATICA
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Table[(-6^(n + 2) + 5*7^(n + 1) + 1)/30, {n, 40}] (* or *) CoefficientList[Series[1/((1 - z) (1 - 6*z) (1 - 7*z)), {z, 0, 40}], z] (* Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)
LinearRecurrence[{14, -55, 42}, {1, 14, 141}, 40] (* Harvey P. Dale, Aug 05 2011 *)
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PROG
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(PARI) Vec(1/((1-x)*(1-6*x)*(1-7*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
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CROSSREFS
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Cf. A016218, A016228, A016249.
Sequence in context: A016290 A003457 A263822 * A306558 A131583 A011547
Adjacent sequences: A016238 A016239 A016240 * A016242 A016243 A016244
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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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