A170978 Expansion of Product_{i=1..m-1} (1 + x^(4*i-1)) * (1 + x^(2*m-1)) for m = 6.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 3, 1, 0, 2, 3, 0, 0, 2, 3, 0, 0, 4, 2, 0, 1, 4, 1, 0, 2, 4, 0, 0, 3, 2, 0, 0, 3, 2, 0, 1, 3, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1

Offset

0,12

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

Table of n, a(n) for n=0..66.

Crossrefs

Sequence in context: A134109 A325227 A325188 * A238353 A365676 A238354

Adjacent sequences: A170975 A170976 A170977 * A170979 A170980 A170981

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2010

Status

approved