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A079293 Degree of the numerator of Fn(z), the Poincare series (also Hilbert, Molien series) for C(Vn)^G where G=SL(2,C) and Vd is the space for binary forms of degree d. +0
1
0, 0, 0, 18, 15, 48, 18 (list; graph; listen)
OFFSET

2,4

COMMENT

Fn(z) is a rational function of degree -(n+1). Recently Brouwer, Cohen and later Sally Jr. calculated Fn(z) for all n<=18 and n=20, 22, 24. It is rumored that Littelmann, Procesi, Laurent have calculated Fn(z) for many other values of n.

REFERENCES

Jean-Michel Kantor, Ou en sont les mathematiques?, SMF, Vuibert, Chapitre 5, paragraphe 6, "Invariants des formes binaires : la formule de Cayley-Sylvester", pp. 73-74

J. J. Sylvester, Proof of the hitherto undemonstrated fundamental theorem of invariants, Phil. Mag. 89,178-188,1878

EXAMPLE

F8(z)=(1+z^8+z^9+z^10+z^18)/prod(i=2,7,1-z^i) hence a(8)=18

CROSSREFS

Sequence in context: A040308 A077810 A077668 this_sequence A070646 A094381 A074972

Adjacent sequences: A079290 A079291 A079292 this_sequence A079294 A079295 A079296

KEYWORD

more,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 08 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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