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A008582
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Molien series for Weyl group E_8.
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2
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1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 12, 14, 17, 20, 25, 28, 34, 40, 47, 54, 64, 72, 85, 97, 111, 126, 146, 163, 187, 211, 238, 266, 302, 335, 378, 421, 469, 520, 582, 640, 712, 786, 868, 954, 1055, 1153, 1270, 1391, 1523, 1662, 1822, 1979, 2162, 2352, 2558, 2774, 3018, 3262
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| Coxeter and Moser, Gens. and Relations for Discrete Grps, Table 10.
L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 37).
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..1000
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 252
Index entries for Molien series
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MAPLE
| 1/((1-x^2)*(1-x^8)*(1-x^12)*(1-x^14)*(1-x^18)*(1-x^20)*(1-x^24)*(1-x^30));
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MATHEMATICA
| Select[CoefficientList[Series[1/((1-x^2)(1-x^8)(1-x^12)(1-x^14)(1-x^18) (1-x^20)(1-x^24)(1-x^30)), {x, 0, 180}], x], #!=0&] (* From Harvey P. Dale, June 09 2011 *)
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PROG
| (MAGMA) MolienSeries(CoxeterGroup("E8")); - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
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CROSSREFS
| Sequence in context: A017852 A029013 A114096 * A069911 A185225 A027196
Adjacent sequences: A008579 A008580 A008581 * A008583 A008584 A008585
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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