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 A170979 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 7. 0
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,19 COMMENTS (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the PoincarĂ© polynomial for O(2m). REFERENCES H. Weyl, The Classical Groups, Princeton, 1946, see p. 238. LINKS MATHEMATICA CoefficientList[Series[Product[1+x^(4i-1), {i, 6}]*(1+x^13), {x, 0, 100}], x] (* Harvey P. Dale, Aug 24 2012 *) CROSSREFS Sequence in context: A265991 A322871 A322870 * A025864 A070242 A242748 Adjacent sequences:  A170976 A170977 A170978 * A170980 A170981 A170982 KEYWORD nonn,fini,full AUTHOR N. J. A. Sloane, Aug 29 2010 STATUS approved

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Last modified September 20 10:14 EDT 2021. Contains 347584 sequences. (Running on oeis4.)