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A020983 Expansion of 1/((1-9*x)*(1-10*x)*(1-12*x)). 1

%I

%S 1,31,643,11155,174811,2566291,36012523,489103555,6481822171,

%T 84295081651,1080159920203,13679489505955,171612008243131,

%U 2136467306462611,26431716545456683,325327578356628355,3987253758579873691,48696950467661485171,593012553894264829963

%N Expansion of 1/((1-9*x)*(1-10*x)*(1-12*x)).

%H G. C. Greubel, <a href="/A020983/b020983.txt">Table of n, a(n) for n = 0..920</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (31,-318,1080)

%F a(n) = 31*a(n-1) - 318*a(n-2) + 1080*a(n-3), n >= 3. - _Vincenzo Librandi_, Mar 18 2011

%F a(n) = 22*a(n-1) - 120*a(n-2) + 9^n, n >= 2. - _Vincenzo Librandi_, Mar 18 2011

%F a(n) = -5*10^(n+1) + 3*9^(n+1) + 2*12^(n+1). - _R. J. Mathar_, Mar 20 2011

%t CoefficientList[Series[1/((1-9*x)*(1-10*x)*(1-12*x)), {x, 0, 50}], x] (* _G. C. Greubel_, Feb 09 2018 *)

%t LinearRecurrence[{31, -318, 1080}, {1, 31, 643}, 20] (* _Robert G. Wilson v_, Feb 11 2018 *)

%o (PARI) x='x+O('x^30); Vec(1/((1-9*x)*(1-10*x)*(1-12*x))) \\ _G. C. Greubel_, Feb 09 2018

%o (MAGMA) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!(1/((1-9*x)*(1-10*x)*(1-12*x)))); // _G. C. Greubel_, Feb 09 2018

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified January 24 10:42 EST 2020. Contains 331193 sequences. (Running on oeis4.)