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A178602 Expansion of the polynomial (1+x^3)*(1+x^11)*(1+x^15)*(1+x^23). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A065335 A230264 A088534 * A216279 A025441 A286813

Adjacent sequences:  A178599 A178600 A178601 * A178603 A178604 A178605

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane, Dec 24 2010

STATUS

approved

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Last modified August 23 15:21 EDT 2017. Contains 291004 sequences.