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%I #19 Sep 08 2022 08:44:41
%S 1,22,345,4730,60461,740982,8834065,103324210,1191912021,13609144142,
%T 154183593785,1736366607690,19463156373181,217362833310502,
%U 2420404185281505,26889163207923170,298163249815659941
%N Expansion of 1/((1-2x)(1-9x)(1-11x)).
%H Vincenzo Librandi, <a href="/A016322/b016322.txt">Table of n, a(n) for n = 0..900</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (22,-139,198).
%F From _Vincenzo Librandi_, Oct 09 2011: (Start)
%F a(n) = (7*11^(n+2) + 2^(n+3) - 9^(n+3))/126.
%F a(n) = 20*a(n-1) - 99*a(n-2) + 2^n.
%F a(n) = 22*a(n-1) - 139*a(n-2) + 198*a(n-3), n >= 3. (End)
%t CoefficientList[Series[1/((1-2x)(1-9x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{22,-139,198},{1,22,345},30] (* _Harvey P. Dale_, Oct 15 2019 *)
%o (Magma) [(7*11^(n+2) +2^(n+3)-9^(n+3))/126 : n in [0..20]]; // _Vincenzo Librandi_, Oct 09 2011
%o (PARI) Vec(1/((1-2*x)*(1-9*x)*(1-11*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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