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A178697
Expansion of the polynomial (1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)*(1+x^11)*(1+x^13)*(1+x^15)*(1+x^17)*(1+x^19)*(1+x^21).
1
1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 4, 6, 5, 5, 7, 6, 8, 6, 9, 8, 10, 8, 11, 11, 11, 11, 12, 14, 12, 14, 13, 16, 14, 16, 14, 19, 15, 17, 17, 18, 18, 17, 19, 18, 20, 16, 20, 18, 20, 16, 20, 18, 19, 17, 18, 18, 17, 17, 15, 19, 14, 16, 14, 16, 13, 14, 12, 14, 12, 11, 11, 11, 11, 8, 10, 8, 9, 6, 8, 6, 7, 5, 5, 6, 4, 4, 4, 4, 3, 3, 2, 3, 2, 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_10.
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@@(1+x^Range[3, 21, 2]), {x, 0, 120}], x] (* Harvey P. Dale, Apr 21 2020 *)
CROSSREFS
A row of A142724.
Sequence in context: A178696 A161090 A349219 * A255065 A027349 A053277
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Dec 25 2010
STATUS
approved