%I #18 Apr 17 2022 22:13:03
%S 1,14,161,1786,19677,216510,2381737,26199362,288193493,3170129446,
%T 34871425953,383585689578,4219442593549,46413868545422,
%U 510552554032409,5616078094422034,61776859038773445,679545449426770038
%N Expansion of 1/((1-x)*(1-2x)*(1-11x)).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14,-35,22).
%F G.f.: 1/((1-x)*(1-2*x)*(1-11*x)).
%F a(n) = (121*11^n - 40*2^n + 9)/90. - _Bruno Berselli_, Feb 09 2011
%F a(n) = 11*a(n-1) + 2^(n+1) - 1, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011
%F a(n) = 14*a(n-1) - 35*a(n-2) + 22*a(n-3); a(0)=1, a(1)=14, a(2)=161. - _Harvey P. Dale_, Nov 02 2011
%t CoefficientList[Series[1/((1-x)(1-2x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{14,-35,22},{1,14,161},31] (* _Harvey P. Dale_, Nov 02 2011 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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