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A016267 Expansion of 1/((1-x)(1-10x)(1-12x)). 1

%I #21 Sep 04 2017 03:52:03

%S 1,23,387,5755,80171,1073163,13989067,178979915,2258870091,

%T 28217552203,349721737547,4307771961675,52804374651211,

%U 644763606925643,7848274394218827,95290403841737035,1154595957211955531

%N Expansion of 1/((1-x)(1-10x)(1-12x)).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (23,-142,120).

%F a(n) = (54*12^(n+1) - 55*10^(n+1) + 1)/99. - _Bruno Berselli_, Mar 21 2011

%F a(n) = 22*a(n-1) - 120*a(n-2) + 1, n >= 2. - _Vincenzo Librandi_, Mar 21 2011

%F a(0)=1, a(1)=23, a(2)=387, a(n) = 23*a(n-1) - 142*a(n-2) + 120*a(n-3). - _Harvey P. Dale_, May 03 2012

%t CoefficientList[Series[1/((1-x)(1-10x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{23,-142,120},{1,23,387},30] (* _Harvey P. Dale_, May 03 2012 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)