login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178651 Expansion of the polynomial (1+x^3)*(1+x^11)*(1+x^15)*(1+x^19)*(1+x^23)*(1+x^27)*(1+x^35) 2
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 4, 1, 0, 3, 3, 0, 0, 3, 3, 0, 1, 4, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 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 E_7.

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..133.

MATHEMATICA

CoefficientList[Series[(1+x^3)(1+x^11)(1+x^15)(1+x^19)(1+x^23)(1+x^27)(1+x^35), {x, 0, 140}], x] (* Harvey P. Dale, Oct 12 2014 *)

CROSSREFS

Sequence in context: A085860 A178665 A170958 * A046810 A328515 A323989

Adjacent sequences:  A178648 A178649 A178650 * A178652 A178653 A178654

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane, Dec 24 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 28 01:46 EST 2020. Contains 332319 sequences. (Running on oeis4.)