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A227292 Dimension of space of invariant tensors in the n-th tensor power of the adjoint representation of G2. 0

%I #9 Jul 09 2013 06:53:54

%S 1,0,1,1,5,16,80,436,2786,19538,147771,1182095,9890463,85866068,

%T 769212600,7080642324,66754295740,642857161008,6309892895338,

%U 6300760829973,639049976047882,6574281878157350,68519019810831408,722711344283052608,7707346411412142258,83037096707432139882

%N Dimension of space of invariant tensors in the n-th tensor power of the adjoint representation of G2.

%C The limit a(n+1)/a(n) is 14. This is expected to be D-finite (and P-finite).

%e For n=0 we have the trivial representation for n=2 we have the Killing form.

%o (LiE) p_tensor(n,[0,1],G2)|[0,0]

%Y Cf. A002137, A179663, A179683.

%K nonn

%O 0,5

%A _Bruce Westbury_, Jul 05 2013

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