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A170963 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 10. 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, 1, 1, 5, 5, 0, 2, 7, 4, 0, 3, 8, 4, 0, 5, 9, 3, 1, 6, 10, 3, 1, 9, 10, 2, 2, 10, 10, 2, 3, 13, 10, 1, 5, 14, 9, 1, 7, 16, 8, 1, 9, 16, 7, 1, 11, 18, 5, 2, 14, 16, 4, 3, 16, 16, 3, 5, 18, 14 (list; graph; refs; listen; history; text; internal format)
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..210 (full sequence)
FORMULA
a(n) = a(210-n). - Rick L. Shepherd, Mar 01 2013
CROSSREFS
Sequence in context: A170960 A170961 A170962 * A170964 A170965 A284316
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)