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%I #6 Jan 30 2018 18:57:38
%S 1,4,14,42,118,310,779,1876,4382,9948,22057,47850,101844,212946,
%T 438118,887814,1773827,3496850,6806682,13089748,24882962,46778368,
%U 87005834,160168440,291935815,527013208,942571346,1670669524,2935415726,5114032028,8836476737
%N Poincaré series [or Poincare series] P(T_{6,2}; 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 4.
%F G.f.: f/g where
%F f = x^60-3*x^59+4*x^58-4*x^57+4*x^56+3*x^55-6*x^54+11*x^53-12*x^52+12*x^51+12*x^50+x^49+55*x^48-22*x^47+82*x^46+
%F 77*x^44+119*x^43+84*x^42+234*x^41+160*x^40+227*x^39+312*x^38+207*x^37+507*x^36+301*x^35+612*x^34+469*x^33+
%F 517*x^32+593*x^31+426*x^30+593*x^29+517*x^28+469*x^27+612*x^26+301*x^25+507*x^24+207*x^23+312*x^22+227*x^21+
%F 160*x^20+234*x^19+84*x^18+119*x^17+77*x^16+82*x^14-22*x^13+55*x^12+x^11+12*x^10+12*x^9-12*x^8+11*x^7-6*x^6+3*x^5+
%F 4*x^4-4*x^3+4*x^2-3*x+1,
%F g = (1-x)^7*(1-x^2)^3*(1-x^3)^6*(1-x^4)^9*(1-x^5)^7*(1-x^6)^5.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Dec 21 2006
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