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%I #54 Mar 08 2024 01:12:19
%S 1,1,-10,-21,89,320,-659,-4179,3070,49039,15269,-524160,-692119,
%T 5073641,12686950,-43123101,-182679551,291674560,2301149621,
%U -907270539,-26219916370,-16239940441,272179139629,450818484480,-2543152051439
%N Expansion of 1/(1 - x*(1 - 11*x)).
%C Row sums of Riordan array (1,x(1-11x)).
%H G. C. Greubel, <a href="/A146083/b146083.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 (1,-11).
%F a(n) = a(n-1)-11*a(n-2) ; a(0)=1, a(1)=1.
%F a(n) = Sum_{k=0..n} A109466(n,k)*11^(n-k).
%F From _G. C. Greubel_, Jan 31 2016: (Start)
%F G.f.: 1/(1-x+11*x^2).
%F E.g.f.: exp(x/2)*(cos(sqrt(43)*x/2) + (1/sqrt(43))*sin(sqrt(43)*x/2)).
%F (End)
%t LinearRecurrence[{1,-11},{1,1},30] (* _Harvey P. Dale_, Jan 07 2016 *)
%o (Sage) [lucas_number1(n,1,11) for n in range(1, 26)] # _Zerinvary Lajos_, Apr 22 2009
%o (PARI) Vec(1/(1-x*(1-11*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012
%o (Magma) [n le 2 select 1 else Self(n-1)-11*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Jan 31 2016
%Y Cf. A010892, A107920, A106852, A106853, A106854, A145934, A145976, A145978, A146078, A146080.
%K sign,easy
%O 0,3
%A _Philippe Deléham_, Oct 27 2008
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