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%I #30 Dec 30 2023 23:42:01
%S 0,1,12,151,1896,23809,298980,3754423,47145936,592032193,7434407868,
%T 93357119767,1172326292280,14721415345729,184863268194708,
%U 2321409125756599,29150952386442144,366061292517601921,4596792176916318060,57723935170619030167
%N a(n) = 12*a(n-1) + 7*a(n-2).
%H Vincenzo Librandi, <a href="/A015611/b015611.txt">Table of n, a(n) for n = 0..900</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,7).
%F G.f.: x/(1 - 12*x - 7*x^2). - _Vincenzo Librandi_, Nov 22 2012
%t Join[{a=0,b=1},Table[c=12*b+7*a;a=b;b=c,{n,60}]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 31 2011 *)
%t CoefficientList[Series[x/(1 - 12x - 7x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, 7}, {0, 1}, 30] (* _Vincenzo Librandi_, Nov 22 2012 *)
%o (Sage) [lucas_number1(n,12,-7) for n in range(0, 18)] # _Zerinvary Lajos_, Apr 29 2009
%o (Magma) [n le 2 select n-1 else 12*Self(n-1) + 7*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Nov 22 2012
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-12*x-7*x^2))) \\ _G. C. Greubel_, Dec 30 2017
%K nonn,easy
%O 0,3
%A _Olivier GĂ©rard_