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Expansion of 1/((1-2x)(1-9x)(1-10x)(1-11x)).
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%I #13 Jun 30 2026 20:26:55

%S 1,32,665,11380,174261,2483592,33669985,440024060,5592152621,

%T 69530670352,849490297305,10231269580740,121775852180581,

%U 1435121355116312,16771617736444625,194605340572369420

%N Expansion of 1/((1-2x)(1-9x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (32,-359,1588,-1980).

%F a(n)=(28*11^(n+3)-63*10^(n+3)+36*9^(n+3)-2^(n+3))/504. [_Yahia Kahloune_, May 30 2013]

%t CoefficientList[Series[1/((1-2x)(1-9x)(1-10x)(1-11x)),{x,0,30}],x] (* _Harvey P. Dale_, May 04 2018 *)

%t (* Alternative: *)

%t LinearRecurrence[{32,-359,1588,-1980},{1,32,665,11380},30] (* _Harvey P. Dale_, May 04 2018 *)

%K nonn,easy,changed

%O 0,2

%A _N. J. A. Sloane_