A170981 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 9.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 3, 2, 1, 3, 4, 2, 2, 4, 4, 2, 2, 5, 4, 3, 3, 6, 4, 3, 4, 6, 5, 4, 5, 7, 5, 4, 5, 7, 6, 4, 7, 7, 6, 4, 7, 7, 6, 5, 8, 8, 6, 5, 8, 7, 6, 6, 8, 8, 6, 6, 7, 8, 5, 6, 8, 8, 5, 6, 7, 7, 4, 6, 7, 7, 4, 6, 7, 5, 4, 5, 7, 5, 4, 5, 6

Offset

0,19

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..153 (full sequence)

Formula

a(n) = a(153-n). - Rick L. Shepherd, Mar 02 2013

Crossrefs

Sequence in context: A363850 A227481 A143654 * A161096 A214247 A211987

Adjacent sequences: A170978 A170979 A170980 * A170982 A170983 A170984

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane, Aug 29 2010

Status

approved