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Expansion of 1/((1-7x)(1-8x)(1-10x)(1-11x)).
1

%I #10 Jul 05 2021 12:09:06

%S 1,36,815,14850,238161,3512376,48835795,650202750,8376184421,

%T 105168836916,1293777896775,15655641961050,186905779340281,

%U 2206620573868656,25809833134389755,299526474742773750

%N Expansion of 1/((1-7x)(1-8x)(1-10x)(1-11x)).

%H Harvey P. Dale, <a href="/A028222/b028222.txt">Table of n, a(n) for n = 0..958</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36,-481,2826,-6160).

%F a(n)=(11^(n+3)-2*10^(n+3)+2*8^(n+3)-7^(n+3))/12. [_Yahia Kahloune_, Jun 12 2013]

%t CoefficientList[Series[1/((1-7x)(1-8x)(1-10x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{36,-481,2826,-6160},{1,36,815,14850},30] (* _Harvey P. Dale_, Jul 05 2021 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.