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A127790 G.f.: (2*x+4*x^2+4*x^3+4*x^4+2*x^5)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)). 2

%I #14 Feb 01 2020 18:24:02

%S 0,2,8,24,64,148,312,620,1160,2070,3560,5912,9528,14974,22984,34548,

%T 50984,73958,105624,148744,206728,283854,385448,517964,689304,909088,

%U 1188784,1542168,1985704,2538754,3224208,4069016,5104496,6367188,7899568,9750496

%N G.f.: (2*x+4*x^2+4*x^3+4*x^4+2*x^5)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).

%D B. Broer, Hilbert series for modules of covariants, in Algebraic Groups and Their Generalizations..., Proc. Sympos. Pure Math., 56 (1994), Part I, 321-331.

%H Peter J. C. Moses, <a href="/A127790/b127790.txt">Table of n, a(n) for n = 0..9999</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,0,-6,12,6,-12,-9,-4,28,-4,-9,-12,6,12,-6,0,-4,4,-1).

%F G.f.: 2*x / ((x-1)^10*(x+1)^2*(x^2+x+1)^4). - _Colin Barker_, Jul 27 2013

%t CoefficientList[Series[(2x+4x^2+4x^3+4x^4+2x^5)/((1-x)^2(1-x^2)^3(1-x^3)^4 (1-x^4)),{x,0,40}],x] (* _Harvey P. Dale_, Apr 10 2019 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Apr 07 2007

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