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Search: id:A008613
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| A008613 |
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Molien series for 3-dimensional representation of A_5. |
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+0
1
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| 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 4, 0, 4, 1, 5, 1, 6, 1, 7, 2, 8, 2, 9, 3, 10, 4, 11, 4, 13, 5, 14, 6, 15, 7, 17, 8, 18, 9, 20, 10, 22, 11, 23, 13, 25, 14, 27, 15, 29, 17, 31, 18, 33, 20, 35, 22, 37, 23, 40, 25, 42, 27
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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Also arises in connection with Lee weight enumerators of codes over GF(5).
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REFERENCES
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D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 101.
H. Derksen and G. Kemper, Computational Invariant Theory, Springer, 2002; p. 92.
G. van der Geer, Hilbert Modular Surfaces, Springer-Verlag, 1988; p. 192.
F. Klein, Lectures on the Icosahedron ..., 2nd Rev. Ed., 1913; reprinted by Dover, NY, 1956; see pp. 236-243.
F. Klein, Werke, II, p. 354.
J. S. Leon, V. S. Pless and N. J. A. Sloane, Self-dual codes over GF(5), J. Combin. Theory, A 32 (1982), 178-194.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
F. J. MacWilliams, C. L. Mallows and N. J. A. Sloane, Generalizations of Gleason's theorem on weight enumerators of self-dual codes, IEEE Trans. Inform. Theory, 18 (1972), 794-805; see p. 802, col. 2, foot.
Index entries for Molien series
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FORMULA
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G.f.: (1+x^15)/((1-x^2)*(1-x^6)*(1-x^10)).
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MAPLE
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(1+x^15)/((1-x^2)*(1-x^6)*(1-x^10));
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CROSSREFS
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Sequence in context: A025805 A029192 A128619 this_sequence A035457 A005868 A035455
Adjacent sequences: A008610 A008611 A008612 this_sequence A008614 A008615 A008616
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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