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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).
(history; published version)
#7 by N. J. A. Sloane at Tue Jan 30 18:57:37 EST 2018
NAME

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).

Discussion
Tue Jan 30
18:57
OEIS Server: https://oeis.org/edit/global/2744
#6 by Jon E. Schoenfield at Sun Jul 19 09:57:54 EDT 2015
STATUS

editing

approved

#5 by Jon E. Schoenfield at Sun Jul 19 09:57:52 EDT 2015
NAME

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

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:50:03 EDT 2012
AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Oct 28 2004

Discussion
Fri Mar 30
16:50
OEIS Server: https://oeis.org/edit/global/110
#3 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010
LINKS

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

KEYWORD

nonn,easy,nice,new

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
LINKS

G. I. Lehrer, <a href="http://www.research.att.com/~njas/sequences/a098787.pdf">Some sequences arising at the interface of representation theory and homotopy theory</a>

KEYWORD

nonn,easy,nice,new

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Oct 28 2004

#1 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005
NAME

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

DATA

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

G. I. Lehrer, <a href="http://www.research.att.com/~njas/sequences/a098787.pdf">Some sequences arising at the interface of representation theory and homotopy theory</a>

CROSSREFS
KEYWORD

nonn,easy,nice

AUTHOR

njas, Oct 28 2004

STATUS

approved