A124634 Poincaré series [or Poincare series] P(C^o_{4,2}; x).

1, 2, 10, 34, 116, 332, 948, 2450, 6126, 15522, 34938, 77676, 164746, 338024, 666934, 1283264, 2393329, 4361006, 7753340, 13502336, 23035680, 38603394, 63558590, 103010192, 164426156, 258818678, 401977394, 616628128, 934719004, 1401251614, 2078441930

Offset

0,2

Links

Table of n, a(n) for n=0..30.

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

Sequence in context: A351551 A351550 A119193 * A306099 A192378 A052965

Adjacent sequences: A124631 A124632 A124633 * A124635 A124636 A124637

Keyword

nonn

Author

N. J. A. Sloane, Dec 21 2006

Status

approved