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A025999 Expansion of 1/((1-2x)(1-5x)(1-8x)(1-11x)). 3

%I #11 Aug 08 2019 18:44:16

%S 1,26,445,6370,82901,1019746,12105885,140404290,1603014501,

%T 18104952866,202945103725,2262802497410,25134485221301,

%U 278430633932386,3078357517755965,33986947913921730,374856803115095301

%N Expansion of 1/((1-2x)(1-5x)(1-8x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (26, -231, 806, -880).

%F a(n) = -4*2^n/81 +125*5^n/54 -256*8^n/27 +1331*11^n/162. _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=26, a(2)=445, a(3)=6370, a(n)=26*a(n-1)-231*a(n-2)+ 806*a(n-3)- 880*a(n-4). - _Harvey P. Dale_, May 24 2014

%t CoefficientList[Series[1/((1-2x)(1-5x)(1-8x)(1-11x)),{x,0,20}],x] (* or *) LinearRecurrence[{26,-231,806,-880},{1,26,445,6370},20] (* _Harvey P. Dale_, May 24 2014 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)