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%I A028081 #13 Jul 08 2025 18:06:47
%S A028081 1,28,507,7574,101801,1283016,15511399,182368858,2103357861,
%T A028081 23935475564,269799417251,3020592495102,33653261722081,
%U A028081 373625952944272,4137562797943263,45735549657446306,504875559449240861
%N A028081 Expansion of 1/((1-3x)(1-6x)(1-8x)(1-11x)).
%H A028081 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (28,-277,1134,-1584).
%F A028081 a(0)=1, a(1)=28, a(2)=507, a(3)=7574, a(n)=28*a(n-1)-277*a(n-2)+ 1134*a(n-3)- 1584*a(n-4). - _Harvey P. Dale_, Jan 04 2013
%F A028081 a(n)=(11^(n+3)-4*8^(n+3)+4*6^(n+3)-3^(n+3))/120. [_Yahia Kahloune_, May 31 2013]
%t A028081 CoefficientList[Series[1/((1-3x)(1-6x)(1-8x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{28,-277,1134,-1584},{1,28,507,7574},30] (* _Harvey P. Dale_, Jan 04 2013 *)
%o A028081 (PARI) Vec(1/(1-3*x)/(1-6*x)/(1-8*x)/(1-11*x)+O(x^99)) \\ _Charles R Greathouse IV_, May 31 2013
%K A028081 nonn,easy
%O A028081 0,2
%A A028081 _N. J. A. Sloane_

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