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A178695
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Expansion of the polynomial (1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)*(1+x^11)*(1+x^13)*(1+x^15)*(1+x^17).
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1
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1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 2, 4, 3, 3, 4, 4, 5, 3, 6, 4, 6, 4, 6, 6, 6, 5, 6, 7, 5, 7, 5, 8, 5, 7, 5, 7, 6, 5, 6, 6, 6, 4, 6, 4, 6, 3, 5, 4, 4, 3, 3, 4, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1
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OFFSET
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0,13
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COMMENTS
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This is the Poincaré polynomial for the Lie group A_8.
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REFERENCES
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Borel, A. and Chevalley, C., The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 1955, no. 14, pp 1-9.
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LINKS
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MATHEMATICA
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CoefficientList[Series[Times@@(1+x^Range[3, 17, 2]), {x, 0, 80}], x] (* Harvey P. Dale, Jul 14 2014 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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