A178691 Expansion of the polynomial (1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)*(1+x^11)*(1+x^13).

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

Offset

0,13

Comments

This is the Poincaré polynomial for the Lie group A_6.

References

Borel, A. and Chevalley, C., The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 1955, no. 14, pp 1-9.

Links

Table of n, a(n) for n=0..48.

Mathematica

CoefficientList[Series[Times@@(x^Range[3, 13, 2]+1), {x, 0, 50}], x] (* Harvey P. Dale, Nov 30 2013 *)

Crossrefs

A row of A142724.

Sequence in context: A303710 A263280 A136107 * A329313 A329312 A211271

Adjacent sequences: A178688 A178689 A178690 * A178692 A178693 A178694

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 25 2010

Status

approved