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%I #4 Sep 22 2013 15:58:10
%S 1,1,8,20,98,293,1128,3409,10846,30480,84652,217677,544312,1289225,
%T 2961626,6528284,13980717,28963980,58464510,114806429,220298632,
%U 412950779,758418342,1365044296,2412766496,4189995629,7159916414
%N Number of real polynomial invariants for the action of 4 copies of U(2) on the fourth tensor power of C^2.
%D M. W. Hero and J. F. Willenbring, Stable Hilbert series as related to the measurement of quantum entanglement, Discrete Math., 309 (2010), 6508-6514.
%D Nolan R. Wallach, The Hilbert series for measures of entanglement in 4 qubits, Acta Appl. Math. 86(2005),203-220.
%F G.f.: (R(q) + q^76*R(1/q))/((1 - q^2)*(1 - q^4)^7*(1 - q^6)^6*(1 - q^8)^4*(1 - q^10)) where R(q) = 1 + 6*q^6 + 46*q^8 + 110*q^10 + 344*q^12 + 844*q^14 + 2154*q^16 + 4606*q^18 + 9397*q^20 + 16848*q^22 + 28747*q^24 + 44580*q^26 + 65366*q^28 + 88036*q^30 + 111909*q^32 + 131368*q^34 + 145676*q^36 + 149860/2*q^38.
%Y Cf. A129548, A129549.
%K nonn
%O 0,3
%A _Mike Zabrocki_, Apr 20 2007
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