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A198399 9^n - 9*n. 2

%I

%S 1,0,63,702,6525,59004,531387,4782906,43046649,387420408,3486784311,

%T 31381059510,282429536373,2541865828212,22876792454835,

%U 205891132094514,1853020188851697,16677181699666416,150094635296998959

%N 9^n - 9*n.

%H Vincenzo Librandi, <a href="/A198399/b198399.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11,-19,9).

%F a(0)=1, a(1)=0, a(2)=63, a(n) = 11*a(n-1) - 19*a(n-2) + 9*a(n-3).

%F G.f.: (1 - 11*x + 82*x^2)/((1 - 9*x)*(1 - x)^2). - _Vincenzo Librandi_, Jan 04 2013

%t CoefficientList[Series[(1 - 11*x + 82*x^2)/((1 - 9*x)*(1 - x)^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 04 2013 *)

%o (MAGMA) [9^n-9*n: n in [0..25]];

%o (PARI) a(n)=9^n-9*n \\ _Charles R Greathouse IV_, Jul 06 2017

%Y Cf. A005803, A107583, A107584, A107585.

%K nonn,easy

%O 0,3

%A _Vincenzo Librandi_, Oct 26 2011

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Last modified October 18 23:39 EDT 2019. Contains 328211 sequences. (Running on oeis4.)