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%I #13 Jul 30 2015 15:12:52
%S 1,18,241,2910,33565,378546,4219993,46755846,516329845,5691721530,
%T 62681496241,689931815118,7591862105101,83526155988930,
%U 918881752875145,10108263503608086,111194283871577893,1223157434578690506
%N Expansion of 1/((1-x)(1-6x)(1-11x)).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (18, -83, 66).
%F a(0)=1, a(1)=18, a(n)=17*a(n-1)-66*a(n-2)+1. - _Vincenzo Librandi_, Feb 10 2011
%F a(0)=1, a(1)=18, a(2)=241, a(n)=18*a(n-1)-83*a(n-2)+66*a(n-3). - _Harvey P. Dale_, Sep 23 2012
%F a(n) = (11^(n+2) - 2*6^(n+2) + 1)/50. [_Yahia Kahloune_, Aug 13 2013]
%t CoefficientList[Series[1/((1-x)(1-6x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{18,-83,66},{1,18,241},30] (* _Harvey P. Dale_, Sep 23 2012 *)
%o (PARI) a(n) = (11^(n+2) - 2*6^(n+2) + 1)/50; \\ _Joerg Arndt_, Aug 13 2013
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
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