A124616 Poincaré series [or Poincare series] P(T_{4,2}; x).

1, 4, 14, 42, 113, 278, 646, 1418, 2979, 6018, 11752, 22256, 41030, 73784, 129748, 223498, 377753, 627314, 1024882, 1649026, 2615695, 4093814, 6327054, 9663096, 14593624, 21807176, 32260234, 47270090, 68637409, 98804814, 141063230, 199815646, 280916288

Offset

0,2

Links

Table of n, a(n) for n=0..32.

Dragomir Z. Djokovic, Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices. See Table 4.

Formula

G.f.: (1-x+x^3+x^5-x^7+x^8)/((1-x)^5*(1-x^2)^4*(1-x^3)^5*(1-x^4)^3).

Crossrefs

Sequence in context: A219867 A295201 A309296 * A335514 A221058 A347583

Adjacent sequences: A124613 A124614 A124615 * A124617 A124618 A124619

Keyword

nonn

Author

N. J. A. Sloane, Dec 21 2006

Status

approved