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This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a(n+1)/a(n) is 52.
Table of n, a(n) for n=0..20.
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.
Sequence in context: A179663 A227292 A179683 * A002830 A196015 A263906
Adjacent sequences: A179682 A179683 A179684 * A179686 A179687 A179688
Bruce Westbury, Jul 24 2010