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A170981
Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 9.
1
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 3, 2, 1, 3, 4, 2, 2, 4, 4, 2, 2, 5, 4, 3, 3, 6, 4, 3, 4, 6, 5, 4, 5, 7, 5, 4, 5, 7, 6, 4, 7, 7, 6, 4, 7, 7, 6, 5, 8, 8, 6, 5, 8, 7, 6, 6, 8, 8, 6, 6, 7, 8, 5, 6, 8, 8, 5, 6, 7, 7, 4, 6, 7, 7, 4, 6, 7, 5, 4, 5, 7, 5, 4, 5, 6
OFFSET
0,19
COMMENTS
(Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré polynomial for O(2m).
REFERENCES
H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..153 (full sequence)
FORMULA
a(n) = a(153-n). - Rick L. Shepherd, Mar 02 2013
CROSSREFS
Sequence in context: A363850 A227481 A143654 * A161096 A214247 A211987
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved