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1, 0, 63, 702, 6525, 59004, 531387, 4782906, 43046649, 387420408, 3486784311, 31381059510, 282429536373, 2541865828212, 22876792454835, 205891132094514, 1853020188851697, 16677181699666416, 150094635296998959
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (11,-19,9).
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FORMULA
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a(0)=1, a(1)=0, a(2)=63, a(n) = 11*a(n-1) - 19*a(n-2) + 9*a(n-3).
G.f.: (1 - 11*x + 82*x^2)/((1 - 9*x)*(1 - x)^2). - Vincenzo Librandi, Jan 04 2013
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MATHEMATICA
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CoefficientList[Series[(1 - 11*x + 82*x^2)/((1 - 9*x)*(1 - x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
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PROG
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(MAGMA) [9^n-9*n: n in [0..25]];
(PARI) a(n)=9^n-9*n \\ Charles R Greathouse IV, Jul 06 2017
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CROSSREFS
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Cf. A005803, A107583, A107584, A107585.
Sequence in context: A090028 A152725 A086578 * A221968 A115152 A343978
Adjacent sequences: A198396 A198397 A198398 * A198400 A198401 A198402
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Oct 26 2011
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STATUS
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approved
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