OFFSET
0,6
COMMENTS
Let V=Sum_{k=1..infty} V_k be the graded vector space H_*(PC^infty)[1], which has Poincaré series [or Poincare series] p(t)=t/(1-t^2). Let L be the free graded Lie algebra V. There is a graded involution theta on V induced by an involution on PC^infty, which acts on V_{2k+1} as (-1)^k. The sequence gives the dimensions of the +1-eigenspaces of theta on the graded components of L.
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. 285.
LINKS
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 28 2004
STATUS
approved