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A028105 Expansion of 1/((1-3x)(1-9x)(1-10x)(1-11x)). 1

%I #12 Sep 28 2023 10:43:55

%S 1,33,700,12150,187951,2698923,36799570,483082800,6161352901,

%T 76830423813,940920228040,11355049670250,135378462029851,

%U 1597705036844703,18694490136746110,217145575509718500

%N Expansion of 1/((1-3x)(1-9x)(1-10x)(1-11x)).

%H Vincenzo Librandi, <a href="/A028105/b028105.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (33, -389, 1887, -2970).

%F a(n) = (21*11^(n+3)-48*10^(n+3)+28*9^(n+3)-3^(n+3))/336. [_Yahia Kahloune_, Jun 11 2013]

%t CoefficientList[Series[1 / ((1 - 3 x) (1 - 9 x) (1 - 10 x) (1 - 11 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)