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A179663 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E8. 2
1, 0, 1, 1, 5, 16, 79, 421, 2674, 19244, 156612, 1423028, 14320350, 158390872, 1912977222, 25083283995, 355246037162, 5409471180024, 88200546561838, 1534120589972637, 28369229081383675, 556021169447494656, 11517512836906556032, 251487262264563372960 (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 248.

LINKS

Bruce Westbury, Table of n, a(n) for n = 0..30

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: A138550 A197052 A203852 * A227292 A179683 A179685

Adjacent sequences:  A179660 A179661 A179662 * A179664 A179665 A179666

KEYWORD

nonn

AUTHOR

Bruce Westbury, Jul 23 2010

STATUS

approved

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Last modified February 20 12:57 EST 2019. Contains 320327 sequences. (Running on oeis4.)