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Expansion of 1/((1-x)(1-6x)(1-11x)(1-12x)).
0

%I #13 Jul 30 2015 22:08:55

%S 1,30,601,10122,155029,2238894,31086721,419796498,5553887821,

%T 72338375382,930742000825,11858835825018,149897892005317,

%U 1882300860052734,23506492073507953,292186168385703522

%N Expansion of 1/((1-x)(1-6x)(1-11x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30, -299, 1062, -792).

%F a(n) = (25*12^(n+3) - 33*11^(n+3) + 11*6^(n+3) - 3)/1650. [_Yahia Kahloune_, Jun 28 2013]

%F a(0)=1, a(1)=30, a(2)=601, a(3)=10122, a(n)=30*a(n-1)-299*a(n-2)+ 1062*a(n-3)- 792*a(n-4). - _Harvey P. Dale_, Nov 20 2013

%t CoefficientList[Series[1/((1-x)(1-6x)(1-11x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{30,-299,1062,-792},{1,30,601,10122},20] (* _Harvey P. Dale_, Nov 20 2013 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.