A124631 Poincaré series [or Poincare series] P(C#_{4,2}; x).

1, 0, 3, 4, 20, 26, 101, 168, 445, 813, 1804, 3246, 6527, 11455, 21193, 36168, 63077, 104034, 173255, 277043, 443629, 689569, 1068616, 1618029, 2438122, 3605596, 5300598, 7674008, 11039330, 15676558, 22120111, 30867691, 42805706, 58792192, 80263432, 108650796

Offset

0,3

Links

Table of n, a(n) for n=0..35.

Dragomir Z. Djokovic, Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices. See Table 7.

Formula

G.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+

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+

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)).

Crossrefs

Sequence in context: A240970 A333320 A047165 * A262033 A062870 A226964

Adjacent sequences: A124628 A124629 A124630 * A124632 A124633 A124634

Keyword

nonn

Author

N. J. A. Sloane, Dec 21 2006

Status

approved