OFFSET
0,2
LINKS
Dragomir Z. Djokovic, Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices. See Table 8.
FORMULA
G.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+
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+
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) /
((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)^4*(1-x^5)^2*(1-x^6)).
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 21 2006
STATUS
approved