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A016263 Expansion of 1/((1-x)(1-9x)(1-12x)). 0

%I #21 Sep 04 2017 03:51:32

%S 1,22,355,5080,68341,886522,11236135,140214460,1731001081,21207861022,

%T 258416964715,3136307268640,37953420452221,458300644483522,

%U 5525344125314095,66535757027375620,800513732040965761

%N Expansion of 1/((1-x)(1-9x)(1-12x)).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (22,-129,108).

%F a(n) = (32*12^(n+1) - 33*9^(n+1) + 1)/88. - _Bruno Berselli_, Mar 21 2011

%F a(n) = 21*a(n-1) - 108*a(n-2) + 1, n >= 2. - _Vincenzo Librandi_, Mar 21 2011

%t CoefficientList[Series[1/((1-x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{22,-129,108},{1,22,355},30] (* _Harvey P. Dale_, Jul 17 2016 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 16 10:37 EDT 2024. Contains 371709 sequences. (Running on oeis4.)