A170983 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 11.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 3, 1, 1, 2, 3, 2, 1, 3, 4, 2, 2, 4, 4, 3, 2, 5, 6, 2, 3, 7, 5, 3, 4, 8, 6, 3, 6, 9, 6, 5, 7, 11, 7, 5, 10, 11, 7, 7, 10, 12, 9, 7, 13, 13, 9, 9, 14, 14, 10, 10, 17, 14, 11, 12, 17, 16, 11, 13, 20, 15, 12, 16, 19, 17, 13, 17

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..231 (full sequence)

Formula

a(n) = a(231-n). - Rick L. Shepherd, Mar 02 2013

Crossrefs

Sequence in context: A128306 A372626 A305152 * A113423 A131258 A298596

Adjacent sequences: A170980 A170981 A170982 * A170984 A170985 A170986

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane, Aug 29 2010

Status

approved