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A170962
Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 9.
1
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 3, 1, 0, 2, 3, 1, 0, 3, 4, 1, 1, 4, 4, 0, 1, 5, 4, 0, 2, 7, 3, 0, 3, 7, 3, 0, 5, 8, 2, 1, 6, 8, 2, 1, 8, 8, 1, 2, 9, 7, 1, 3, 11, 7, 0, 5, 11, 5, 0, 6, 12, 4, 1, 8, 11, 3, 1, 9, 11, 2, 2, 11, 9, 1, 3, 11, 8, 1, 4, 12, 6, 0, 5, 11, 5
OFFSET
0,19
COMMENTS
Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).
REFERENCES
H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..171 (full sequence)
FORMULA
a(n) = a(171-n). - Rick L. Shepherd, Mar 01 2013
CROSSREFS
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved