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A178580
Expansion of the polynomial (1+x^3)*(1+x^9)*(1+x^11)*(1+x^15)*(1+x^17)*(1+x^23).
2
1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 3, 1, 1, 2, 0, 1, 2, 0, 1, 3, 0, 2, 2, 0, 2, 2, 0, 3, 1, 0, 2, 1, 0, 2, 1, 1, 3, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1
OFFSET
0,21
COMMENTS
This is the Poincaré polynomial for the Lie group E_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[(1+x^3)(1+x^9)(1+x^11)(1+x^15)(1+x^17)(1+x^23), {x, 0, 120}], x] (* Harvey P. Dale, Dec 06 2021 *)
CROSSREFS
Sequence in context: A215462 A025843 A303906 * A035437 A339815 A156996
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Dec 24 2010
STATUS
approved