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Search: id:A008670
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| A008670 |
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Molien series for Weyl group F_4. |
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+0
2
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| 1, 1, 1, 2, 3, 3, 5, 6, 7, 9, 11, 12, 16, 18, 20, 24, 28, 30, 36, 40, 44, 50, 56, 60, 69, 75, 81, 90, 99, 105, 117, 126, 135, 147, 159, 168, 184, 196, 208, 224, 240, 252, 272, 288, 304, 324, 344, 360, 385, 405, 425, 450, 475, 495, 525, 550, 575, 605, 635, 660, 696, 726, 756
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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Coxeter and Moser, Gens. and Relations for Discrete Grps, Table 10.
L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 28).
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 236
Index entries for Molien series
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MAPLE
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1/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^12));
a:= proc(n) local m, r; m := iquo (n, 12, 'r'); r:= r+1; ([4, 5, 6, 8, 10, 11, 14, 16, 18, 21, 24, 26][r]+ (6+r+4*m)*m)*m+ [1$3, 2, 3$2, 5, 6, 7, 9, 11, 12][r] end: seq (a(n), n=0..100); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 06 2008]
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PROGRAM
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(MAGMA) MolienSeries(CoxeterGroup("F4")); - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
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CROSSREFS
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Sequence in context: A081210 A070321 A036410 this_sequence A039852 A035938 A024503
Adjacent sequences: A008667 A008668 A008669 this_sequence A008671 A008672 A008673
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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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