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!)
A179684 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E6. 0
1, 0, 1, 1, 5, 17, 90, 542, 3962, 33554, 324489, 3520885, 42300709, 556530474, 7945317484, 122145525208, 2008827010000, 35143981009968 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a(n+1)/a(n) is 78.

LINKS

Table of n, a(n) for n=0..17.

EXAMPLE

The n-th tensor power is the trivial representation for n=0 and is the adjoint representation for n=1. For n=2 every invariant tensor is a scalar multiple of a Killing form.

CROSSREFS

Sequence in context: A212291 A307176 A309175 * A250744 A197875 A203116

Adjacent sequences:  A179681 A179682 A179683 * A179685 A179686 A179687

KEYWORD

nonn

AUTHOR

Bruce Westbury, Jul 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 August 15 13:20 EDT 2020. Contains 336504 sequences. (Running on oeis4.)