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%I #40 Dec 23 2023 14:27:36
%S 0,1,8,75,688,6329,58200,535219,4921952,45263025,416245672,3827858651,
%T 35201571600,323719017961,2976969431288,27376664647875,
%U 251759980927168,2315223158543969,21291145058550600,195796615212388459,1800575517343164272,16558366906081587225,152273265939427504792
%N Expansion of x/(1 - 8*x - 11*x^2).
%H Vincenzo Librandi, <a href="/A015578/b015578.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,11).
%F a(n) = 8*a(n-1) + 11*a(n-2).
%t Transpose[NestList[{Last[#],8Last[#]+11First[#]}&, {0,1},20]] [[1]] (* _Harvey P. Dale_, Mar 14 2011 *)
%t LinearRecurrence[{8, 11}, {0, 1}, 30] (* _Vincenzo Librandi_, Nov 14 2012 *)
%o (Sage) [lucas_number1(n,8,-11) for n in range(0, 19)] # _Zerinvary Lajos_, Apr 25 2009
%o (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
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-8*x-11*x^2))) \\ _G. C. Greubel_, Jan 06 2018
%K nonn,easy
%O 0,3
%A _Olivier Gérard_