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G.f.: (x^2+6*x^3+7*x^4+8*x^5+4*x^6-3*x^8-2*x^9-x^10) / ((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).
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%I #8 May 19 2019 13:39:50

%S 0,0,1,8,25,72,175,384,778,1492,2701,4704,7891,12828,20280,31312,

%T 47265,70000,101836,145792,205663,286284,393520,534816,719117,957408,

%U 1262909,1651640,2142476,2758212,3525503,4475904,5646291,7079924,8826657,10944800

%N G.f.: (x^2+6*x^3+7*x^4+8*x^5+4*x^6-3*x^8-2*x^9-x^10) / ((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="/A127813/b127813.txt">Table of n, a(n) for n = 0..9999</a>

%t CoefficientList[Series[(x^2+6x^3+7x^4+8x^5+4x^6-3x^8-2x^9-x^10)/((1-x)^2(1-x^2)^3(1-x^3)^4(1-x^4)),{x,0,40}],x] (* _Harvey P. Dale_, May 19 2019 *)

%K nonn

%O 0,4

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