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Search: id:A008584
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| A008584 |
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Molien series for Weyl group E_6. |
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+0
2
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| 1, 0, 1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 6, 4, 8, 6, 10, 9, 14, 11, 18, 15, 22, 20, 29, 25, 36, 32, 43, 41, 54, 49, 66, 61, 78, 75, 95, 89, 113, 107, 132, 129, 157, 150, 184, 178, 212, 209, 248, 241, 287, 280, 327
(list; graph; listen)
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OFFSET
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0,7
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 125.
Coxeter and Moser, Gens. and Relations for Discrete Grps, Table 10.
L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 35).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 248
Index entries for Molien series
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MAPLE
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1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12));
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PROGRAM
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(MAGMA) MolienSeries(CoxeterGroup("E6")); - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
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CROSSREFS
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Cf. A014977.
Sequence in context: A161227 A115584 A029140 this_sequence A034390 A144693 A029139
Adjacent sequences: A008581 A008582 A008583 this_sequence A008585 A008586 A008587
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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