A098787 Stable Poincaré series [or Poincare series] for Lie algebra of type A (i.e., the variety of complex k X k matrices with distinct eigenvalues).

1, 1, 0, 1, 2, 4, 6, 9, 17, 30, 47, 75, 131, 221, 358, 589, 987, 1640, 2695, 4435, 7346, 12153, 19993, 32886, 54232, 89349, 146880, 241416, 396995, 652509, 1071496, 1758884, 2887206, 4737820, 7770521, 12740561, 20886071, 34229894

Offset

0,5

Comments

Lehrer-Segal give a recurrence; both this reference and the Lehrer article give the first 50 terms.

References

G. I. Lehrer and G. B. Segal, Homology stability for classical regular semisimple varieties, Math. Zeit., 236 (2001), 251-290; p. 285.

Links

Table of n, a(n) for n=0..37.

G. I. Lehrer, Some sequences arising at the interface of representation theory and homotopy theory

Crossrefs

Cf. A098788, A098789, A098705.

Sequence in context: A327744 A342340 A244470 * A164138 A320449 A263434

Adjacent sequences: A098784 A098785 A098786 * A098788 A098789 A098790

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Oct 28 2004

Status

approved