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%I #19 Sep 08 2022 08:44:41
%S 1,19,267,3407,41915,508167,6124003,73618159,884068779,10612080215,
%T 127361237939,1528416234111,18341401707643,220098854991463,
%U 2641196432412675,31694408051560463,380333150931832907
%N Expansion of 1/((1-2*x)*(1-5*x)*(1-12*x)).
%H Vincenzo Librandi, <a href="/A016302/b016302.txt">Table of n, a(n) for n = 0..500</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (19,-94,120).
%F G.f.: 1/((1-2*x)*(1-5*x)*(1-12*x)).
%F From _Vincenzo Librandi_, Sep 01 2011: (Start)
%F a(n) = (14*2^n - 125*5^n + 216*12^n)/105.
%F a(n) = 19*a(n-1)- 94*a(n-2) + 120*a(n-3) for n > 2.
%F a(n) = 17*a(n-1) - 60*a(n-2) + 2^n for n > 1. (End)
%o (Magma) [(14*2^n-125*5^n+216*12^n)/105: n in [0..20]]; // _Vincenzo Librandi_, Sep 01 2011
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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