A170979 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 7.

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

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

Table of n, a(n) for n=0..91.

Mathematica

CoefficientList[Series[Product[1+x^(4i-1), {i, 6}]*(1+x^13), {x, 0, 100}], x] (* Harvey P. Dale, Aug 24 2012 *)

Crossrefs

Sequence in context: A353841 A322871 A322870 * A025864 A070242 A242748

Adjacent sequences: A170976 A170977 A170978 * A170980 A170981 A170982

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2010

Status

approved