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A227292 Dimension of space of invariant tensors in the n-th tensor power of the adjoint representation of G2. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

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

LINKS

Table of n, a(n) for n=0..25.

EXAMPLE

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

PROG

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

CROSSREFS

Cf. A002137, A179663, A179683.

Sequence in context: A197052 A203852 A179663 * A179683 A179685 A286077

Adjacent sequences:  A227289 A227290 A227291 * A227293 A227294 A227295

KEYWORD

nonn

AUTHOR

Bruce Westbury, Jul 05 2013

STATUS

approved

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Last modified March 26 04:32 EDT 2019. Contains 321481 sequences. (Running on oeis4.)