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%I #6 Jan 30 2018 18:57:38
%S 1,0,3,4,20,26,101,168,445,813,1804,3246,6527,11455,21193,36168,63077,
%T 104034,173255,277043,443629,689569,1068616,1618029,2438122,3605596,
%U 5300598,7674008,11039330,15676558,22120111,30867691,42805706,58792192,80263432,108650796
%N Poincaré series [or Poincare series] P(C#_{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 7.
%F G.f. =
%F (1+10*x^4+12*x^5+38*x^6+93*x^8+131*x^9+235*x^10+299*x^11+473*x^12+560*x^13+714*x^14+761*x^15+876*x^16+830*x^17+
%F 876*x^18+761*x^19+714*x^20+560*x^21+473*x^22+299*x^23+235*x^24+131*x^25+93*x^26+46*x^27+38*x^28+12*x^29+
%F 10*x^30+x^34+46*x^7)/((1-x^2)^3*(1-x^3)^4*(1-x^4)^4*(1-x^5)^2*(1-x^6)).
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Dec 21 2006
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