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Expansion of 1/((1-x)(1-8x)(1-10x)(1-11x)).
0

%I #10 Jul 30 2015 22:11:32

%S 1,30,593,9738,143949,1989198,26238361,334590546,4159355717,

%T 50694901686,608290940049,7207487623674,84523773236605,

%U 982803891723294,11346293009032457,130203935811077922,1486512106726735413

%N Expansion of 1/((1-x)(1-8x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30, -307, 1158, -880).

%F a(0)=1, a(1)=30, a(2)=593, a(3)=9738, a(n)=30*a(n-1)-307*a(n-2)+ 1158*a(n-3)- 880*a(n-4). - _Harvey P. Dale_, Aug 19 2012

%F a(n) = (21*11^(n+3) - 35*10^(n+3) + 15*8^(n+3) - 1)/630. [_Yahia Kahloune_, Jul 01 2013]

%t CoefficientList[Series[1/((1-x)(1-8x)(1-10x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{30,-307,1158,-880},{1,30,593,9738},30] (* _Harvey P. Dale_, Aug 19 2012 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.