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A170958 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 5. 0
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 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 + 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
MATHEMATICA
CoefficientList[Series[Product[1+x^(4i-1), {i, 5}], {x, 0, 60}], x] (* Harvey P. Dale, Mar 09 2019 *)
CROSSREFS
Sequence in context: A063933 A085860 A178665 * A178651 A046810 A328515
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved

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Last modified March 28 11:46 EDT 2024. Contains 371241 sequences. (Running on oeis4.)