A098788 Stable Poincaré series [or Poincare series] for Lie group of type A (i.e., the variety of complex nonsingular k X k matrices with distinct eigenvalues).

1, 2, 2, 4, 8, 15, 27, 47, 85, 153, 268, 466, 818, 1430, 2475, 4273, 7377, 12701, 21786, 37282, 63719, 108719, 185085, 314537, 533861, 904861, 1531370, 2588298, 4369783, 7369174, 12413458, 20889007, 35118175, 58986118

Offset

0,2

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. 286.

Links

Table of n, a(n) for n=0..33.

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

Crossrefs

Cf. A098787, A098789, A098705.

Sequence in context: A354784 A075126 A300998 * A190820 A153999 A154002

Adjacent sequences: A098785 A098786 A098787 * A098789 A098790 A098791

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Oct 28 2004

Status

approved