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%I #31 Dec 30 2023 23:40:50
%S 0,1,4,27,152,905,5292,31123,182704,1073169,6302420,37014539,
%T 217384776,1276699033,7498028668,44035804035,258621531488,
%U 1518879970337,8920356727716,52389106584571,307680350343160
%N Expansion of x/(1 - 4*x - 11*x^2).
%H Vincenzo Librandi, <a href="/A015534/b015534.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 (4,11).
%F a(n) = 4*a(n-1) + 11*a(n-2).
%t Join[{a=0,b=1},Table[c=4*b+11*a;a=b;b=c,{n,40}]] (* _Vladimir Joseph Stephan Orlovsky_, Mar 29 2011 *)
%t LinearRecurrence[{4,11},{0,1},30] (* _Vincenzo Librandi_, Jun 19 2012 *)
%o (Sage) [lucas_number1(n,4,-11) for n in range(0, 20)] # _Zerinvary Lajos_, Apr 23 2009
%o (Magma) I:=[0, 1]; [n le 2 select I[n] else 4*Self(n-1)+11*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Jun 19 2012
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-4*x-11*x^2))) \\ _G. C. Greubel_, Jan 01 2018
%K nonn,easy
%O 0,3
%A _Olivier Gérard_
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