A178602 Expansion of the polynomial (1+x^3)*(1+x^11)*(1+x^15)*(1+x^23).

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

Offset

0,27

Comments

This is the Poincaré polynomial for the Lie group F_4.

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..52.

Mathematica

CoefficientList[Series[(1+x^3)(1+x^11)(1+x^15)(1+x^23), {x, 0, 60}], x] (* Harvey P. Dale, Jul 16 2017 *)

Crossrefs

Sequence in context: A230264 A363127 A088534 * A363711 A216279 A025441

Adjacent sequences: A178599 A178600 A178601 * A178603 A178604 A178605

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane, Dec 24 2010

Status

approved