A170980 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 8.

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

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