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%I #8 Nov 07 2013 12:34:17
%S 1,0,1,1,5,16,79,421,2674,19244,156612,1423028,14320350,158390872,
%T 1912977222,25083283995,355246037162,5409471180024,88200546561838,
%U 1534120589972637,28369229081383675,556021169447494656,11517512836906556032,251487262264563372960
%N The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E8.
%C This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a[n+1]/a[n] is 248.
%H Bruce Westbury, <a href="/A179663/b179663.txt">Table of n, a(n) for n = 0..30</a>
%e 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.
%K nonn
%O 0,5
%A _Bruce Westbury_, Jul 23 2010
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