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%I #25 Sep 08 2022 08:44:45
%S 1,32,685,12260,198121,2997512,43322245,605523020,8251539841,
%T 110243798192,1449890883805,18826690025780,241910703467161,
%U 3081364962170072,38962058064701365,489593051613776540,6119501542765132081,76138929852279201152,943571277592721190925
%N Expansion of 1/((1-9*x)*(1-11*x)*(1-12*x)).
%H G. C. Greubel, <a href="/A020984/b020984.txt">Table of n, a(n) for n = 0..920</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (32,-339,1188)
%F a(n) = 32*a(n-1) - 339*a(n-2) + 1188*a(n-3), n >= 3. - _Vincenzo Librandi_, Mar 18 2011
%F a(n) = 23*a(n-1) - 132*a(n-2) + 9^n, n >= 2. - _Vincenzo Librandi_, Mar 18 2011
%F a(n) = 4*12^(n+1) - 11^(n+2)/2+3*9^(n+1)/2. - _R. J. Mathar_, Mar 19 2011
%t CoefficientList[Series[1/((1-9*x)*(1-11*x)*(1-12*x)), {x,0,50}], x] (* _G. C. Greubel_, Feb 09 2018 *)
%o (PARI) x='x+O('x^30); Vec(1/((1-9*x)*(1-11*x)*(1-12*x))) \\ _G. C. Greubel_, Feb 09 2018
%o (Magma) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!(1/((1-9*x)*(1-11*x)*(1-12*x)))); // _G. C. Greubel_, Feb 09 2018
%K nonn
%O 0,2
%A _N. J. A. Sloane_
%E a(18) corrected by _Andrew Howroyd_, Feb 23 2018
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