|
Search: id:A155888
|
|
|
| A155888 |
|
a(n) = dimension of the space of n-boxes in the unshaded subfactor planar algebra of type E8. |
|
+0
1
|
|
| 1, 1, 2, 5, 14, 43, 143, 506, 1870, 7107, 27474, 107274, 421268, 1659725, 6551041, 25884007, 102330007, 404682554, 1600678795, 6331951858, 25049290301, 99098453901, 392054049162, 1551062360070, 6136418173129, 24277388110318
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
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.
|
|
REFERENCES
|
V. Jones, Planar Algebras I, arXiv:math/9909027v1 [math.QA]
|
|
FORMULA
|
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)
|
|
CROSSREFS
|
Sequence in context: A110489 A005425 A035349 this_sequence A006789 A098569 A137549
Adjacent sequences: A155885 A155886 A155887 this_sequence A155889 A155890 A155891
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Stephen Bigelow (bigelow(AT)math.ucsb.edu), Jan 29 2009
|
|
|
Search completed in 0.002 seconds
|
