A124613 - OEIS

A124613

Poincaré series [or Poincare series] P(C_{5,2}; x).

1, 2, 6, 14, 34, 74, 159, 324, 657, 1286, 2488, 4702, 8790, 16146, 29326, 52526, 93064, 162910, 282267, 483792, 821182, 1380052, 2297972, 3791220, 6200379, 10053018, 16165158, 25782702, 40801449, 64075416, 99882597, 154577022, 237551012, 362577214, 549750200

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..34.

Dragomir Z. Djokovic, Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices. See Tables 3 and 5.

FORMULA

G.f.: f/g where

f = x^40+2*x^39-6*x^37-9*x^36+2*x^35+25*x^34+38*x^33+17*x^32-34*x^31-68*x^30-34*x^29+73*x^28+176*x^27+171*x^26+

34*x^25-127*x^24-156*x^23-2*x^22+218*x^21+322*x^20+218*x^19-2*x^18-156*x^17-127*x^16+34*x^15+171*x^14+176*x^13+

73*x^12-34*x^11-68*x^10-34*x^9+17*x^8+38*x^7+25*x^6+2*x^5-9*x^4-6*x^3+2*x+1,

g = (1-x^2)^6*(1-x^3)^8*(1-x^4)^6*(1-x^5)^6.