

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).


2



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

LehrerSegal 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), 251290; 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: A306604 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



