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A170979
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Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 7.
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0
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1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 1, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 1, 3, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1
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OFFSET
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0,19
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COMMENTS
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(Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré polynomial for O(2m).
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REFERENCES
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H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
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LINKS
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MATHEMATICA
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CoefficientList[Series[Product[1+x^(4i-1), {i, 6}]*(1+x^13), {x, 0, 100}], x] (* Harvey P. Dale, Aug 24 2012 *)
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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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