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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).
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%I #9 Jan 30 2018 18:57:37

%S 1,1,0,1,2,4,6,9,17,30,47,75,131,221,358,589,987,1640,2695,4435,7346,

%T 12153,19993,32886,54232,89349,146880,241416,396995,652509,1071496,

%U 1758884,2887206,4737820,7770521,12740561,20886071,34229894

%N 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).

%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. 285.

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

%Y Cf. A098788, A098789, A098705.

%K nonn,easy,nice

%O 0,5

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