login
A178691
Expansion of the polynomial (1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)*(1+x^11)*(1+x^13).
1
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.
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
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Dec 25 2010
STATUS
approved