A170977 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 5.

1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 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..45.

Mathematica

CoefficientList[Series[Product[1 + x^(4 i - 1), {i, 4}]*(1 + x^9), {x, 0, 45}], x] (* Vincenzo Librandi, Mar 14 2013 *)

Crossrefs

Sequence in context: A066799 A238900 A037832 * A039737 A144382 A139553

Adjacent sequences: A170974 A170975 A170976 * A170978 A170979 A170980

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2010

Status

approved