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%I #15 Sep 01 2018 01:56:37
%S 1,16,183,1850,17681,164316,1504843,13673710,123714261,1116683216,
%T 10066424303,90679197570,816519676441,7350711587716,66166576804563,
%U 595550053849430,5360204797752221,48243114745437816
%N Expansion of 1/((1-2x)(1-5x)(1-9x)).
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (16,-73,90)
%F From _Vincenzo Librandi_, Mar 16 2011: (Start)
%F a(n) = 16*a(n-1) - 73*a(n-2) + 90*a(n-3), n >= 3.
%F a(n) = 14*a(n-1) - 45*a(n-2) + 2^n, n >= 2. (End)
%F a(n) = 2^(n+2)/21 + 9^(n+2)/28 - 5^(n+2)/12. - _R. J. Mathar_, Mar 18 2011
%t CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{16,-73,90},{1,16,183},30] (* _Harvey P. Dale_, Jul 06 2014 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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