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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).
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%I #7 Jan 30 2018 18:57:37

%S 1,2,2,4,8,15,27,47,85,153,268,466,818,1430,2475,4273,7377,12701,

%T 21786,37282,63719,108719,185085,314537,533861,904861,1531370,2588298,

%U 4369783,7369174,12413458,20889007,35118175,58986118

%N 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).

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

%D G. I. Lehrer and G. B. Segal, Homology stability for classical regular semisimple varieties, Math. Zeit., 236 (2001), 251-290; p. 286.

%H G. I. Lehrer, <a href="/A098787/a098787.pdf">Some sequences arising at the interface of representation theory and homotopy theory</a>

%Y Cf. A098787, A098789, A098705.

%K nonn,easy,nice

%O 0,2

%A _N. J. A. Sloane_, Oct 28 2004