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A178651
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Expansion of the polynomial (1+x^3)*(1+x^11)*(1+x^15)*(1+x^19)*(1+x^23)*(1+x^27)*(1+x^35)
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2
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1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 4, 1, 0, 3, 3, 0, 0, 3, 3, 0, 1, 4, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
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OFFSET
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0,27
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COMMENTS
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This is the Poincaré polynomial for the Lie group E_7.
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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[(1+x^3)(1+x^11)(1+x^15)(1+x^19)(1+x^23)(1+x^27)(1+x^35), {x, 0, 140}], x] (* Harvey P. Dale, Oct 12 2014 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full,easy
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AUTHOR
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STATUS
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approved
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