A098788 - OEIS

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

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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.