A178580 Expansion of the polynomial (1+x^3)*(1+x^9)*(1+x^11)*(1+x^15)*(1+x^17)*(1+x^23).

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.

Links

Table of n, a(n) for n=0..78.

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

Adjacent sequences: A178577 A178578 A178579 * A178581 A178582 A178583

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane, Dec 24 2010

Status

approved