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Expansion of 1/((1-5x)(1-6x)(1-10x)(1-11x)).
0

%I #9 Oct 23 2015 23:28:10

%S 1,32,653,10864,160965,2216256,29037037,367278608,4526901269,

%T 54714980320,651369416061,7662042543792,89264097643813,

%U 1031793631351424,11849055184966925,135335527957665616

%N Expansion of 1/((1-5x)(1-6x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (32,-371,1840,-3300).

%F a(n)=(2*11^(n+3)-3*10^(n+3)+3*6^(n+3)-2*5^(n+3))/60. [_Yahia Kahloune_, Jun 04 2013]

%F a(0)=1, a(1)=32, a(2)=653, a(3)=10864, a(n)=32*a(n-1)-371*a(n-2)+ 1840*a(n-3)- 3300*a(n-4). - _Harvey P. Dale_, Oct 23 2015

%t CoefficientList[Series[1/((1-5x)(1-6x)(1-10x)(1-11x)),{x,0,20}],x] (* or *) LinearRecurrence[{32,-371,1840,-3300},{1,32,653,10864},20] (* _Harvey P. Dale_, Oct 23 2015 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.