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A082642
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Expansion of Molien series for 5-dimensional representation of dihedral group of order 10.
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1
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1, 0, 1, 2, 3, 4, 5, 6, 9, 10, 13, 14, 17, 20, 23, 26, 29, 32, 37, 40, 45, 48, 53, 58, 63, 68, 73, 78, 85, 90, 97, 102, 109, 116, 123, 130, 137, 144, 153, 160, 169, 176, 185, 194, 203, 212, 221, 230, 241, 250, 261, 270, 281, 292, 303, 314, 325, 336, 349, 360, 373, 384, 397, 410
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OFFSET
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0,4
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REFERENCES
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M. D. Neusel and L. Smith, Invariant Theory of Finite Groups, Amer. Math. Soc., 2002; see p. 149.
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LINKS
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FORMULA
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G.f.: (1+x^2+x^3+2*x^4+2*x^5+2*x^6+x^7+x^8+x^10)/((1-x^3)*(1-x^4)*(1-x^5)).
G.f.: -(x^6-x^5+2*x^3-x+1) / ((x-1)^3*(x+1)*(x^4+x^3+x^2+x+1)). - Colin Barker, Apr 02 2015
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MATHEMATICA
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CoefficientList[Series[(1 + x^2 + x^3 + 2 x^4 + 2 x^5 + 2 x^6 + x^7 + x^8 +x^10) / ((1 - x^3) (1 - x^4) (1 - x^5)), {x, 0, 70}], x] (* Vincenzo Librandi, Aug 15 2013 *)
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PROG
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(PARI) Vec(-(x^6-x^5+2*x^3-x+1)/((x-1)^3*(x+1)*(x^4+x^3+x^2+x+1)) + O(x^100)) \\ Colin Barker, Apr 02 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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