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A170980 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 8. 1
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 3, 1, 0, 1, 3, 1, 0, 2, 4, 1, 0, 3, 4, 0, 0, 5, 4, 0, 2, 6, 3, 0, 2, 7, 3, 0, 4, 8, 1, 0, 6, 7, 1, 1, 8, 6, 0, 2, 8, 5, 0, 3, 10, 3, 0, 5, 8, 2, 0, 6, 8, 1, 1, 7, 6, 0, 1, 8, 4, 0, 3, 7, 2, 0, 3, 6, 2, 0, 4, 5, 0, 0, 4, 3, 0, 1, 4, 2, 0, 1, 3, 1, 0, 1, 3, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,16

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..120 (full sequence)

FORMULA

a(n) = a(120-n). - Rick L. Shepherd, Mar 02 2013

CROSSREFS

Sequence in context: A238121 A171380 A323592 * A330369 A309577 A029301

Adjacent sequences:  A170977 A170978 A170979 * A170981 A170982 A170983

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane, Aug 29 2010

STATUS

approved

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Last modified July 29 09:31 EDT 2021. Contains 346344 sequences. (Running on oeis4.)