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

1, 0, 1, 1, 5, 16, 80, 436, 2786, 19538, 147771, 1182095, 9890463, 85866068, 769212600, 7080642324, 66754295740, 642857161008, 6309892895338, 6300760829973, 639049976047882, 6574281878157350, 68519019810831408, 722711344283052608, 7707346411412142258, 83037096707432139882

Offset: 0

Author

Bruce Westbury, Jul 05 2013

Keywords

• nonn

Comments

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

Examples

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

Links

• Jacob L. Bourjaily, Michael Plesser, and Cristian Vergu, The Many Colours of Amplitudes, arXiv:2412.21189 [hep-th], 2024. See p. 53.

Crossrefs

Cf. A002137, A179663, A179683.

Programs

LiE

p_tensor(n,[0,1],G2)|[0,0]