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A155888 a(n) = dimension of the space of n-boxes in the unshaded subfactor planar algebra of type E8. 0

%I

%S 1,1,2,5,14,43,143,506,1870,7107,27474,107274,421268,1659725,6551041,

%T 25884007,102330007,404682554,1600678795,6331951858,25049290301,

%U 99098453901,392054049162,1551062360070,6136418173129,24277388110318

%N a(n) = dimension of the space of n-boxes in the unshaded subfactor planar algebra of type E8.

%C a(n) is also the number of paths of length 2n in the E8 graph that begin and end at the vertex farthest from the trivalent vertex.

%H V. Jones, <a href="http://arxiv.org/abs/math/9909027">Planar Algebras I</a>, arXiv:math/9909027v1 [math.QA]

%F G.f.: (1 - 8*x + 21*x^2 - 21*x^3 + 6*x^4)/(1 - 9*x + 28*x^2 - 36*x^3 + 17*x^4 - 2*x^5)

%K easy,nonn

%O 0,3

%A Stephen Bigelow (bigelow(AT)math.ucsb.edu), Jan 29 2009

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Last modified May 7 18:13 EDT 2021. Contains 343652 sequences. (Running on oeis4.)