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%I #6 Jan 30 2018 18:57:38
%S 1,2,10,34,116,332,948,2450,6126,15522,34938,77676,164746,338024,
%T 666934,1283264,2393329,4361006,7753340,13502336,23035680,38603394,
%U 63558590,103010192,164426156,258818678,401977394,616628128,934719004,1401251614,2078441930
%N Poincaré series [or Poincare series] P(C^o_{4,2}; x).
%H Dragomir Z. Djokovic, <a href="http://arXiv.org/abs/math.AC/0609262">Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices</a>. See Table 8.
%F G.f. =
%F (1+4*x^2+12*x^3+36*x^4+68*x^5+171*x^6+639*x^8+2192*x^9+1849*x^10+2794*x^11+4151*x^12+5546*x^13+7229*x^14+
%F 8700*x^15+10085*x^16+10836*x^17+11270*x^18+10836*x^19+10085*x^20+8700*x^21+7229*x^22+5546*x^23+4151*x^24+2794*x^25+
%F 1849*x^26+2192*x^27+639*x^28+316*x^29+171*x^30+68*x^31+36*x^32+12*x^33+4*x^34+x^36+316*x^7) /
%F ((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)^4*(1-x^5)^2*(1-x^6)).
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Dec 21 2006