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A028106 Expansion of 1/((1-3x)(1-9x)(1-10x)(1-12x)). 1

%I #15 Sep 28 2023 10:44:51

%S 1,34,745,13390,214981,3211234,45646225,626042230,8359948861,

%T 109374928234,1408284704905,17904343620670,225325039105141,

%U 2812442423778034,34869043816790785,429934709807000710

%N Expansion of 1/((1-3x)(1-9x)(1-10x)(1-12x)).

%H Vincenzo Librandi, <a href="/A028106/b028106.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 (34, -411, 2034, -3240).

%F a(n) = (7*12^(n+3)-27*10^(n+3)+21*9^(n+3)-3^(n+3))/378. - _Yahia Kahloune_, May 29 2013

%t CoefficientList[Series[1 / ((1 - 3 x) (1 - 9 x) (1 - 10 x) (1 - 12 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 April 16 09:52 EDT 2024. Contains 371698 sequences. (Running on oeis4.)