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A374303
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Number of growing self-avoiding walks of length n on a half-infinite strip of height 6 with a trapped endpoint.
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3
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2, 2, 9, 10, 40, 58, 206, 342, 1121, 2024, 6020, 11469, 31574, 62660, 164376, 336835, 853656, 1795319, 4434739, 9511931, 23042967, 50154356, 119696075, 263380585, 621470158, 1378659503, 3225317853, 7199055796, 16732951708, 37523280788, 86787492382
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OFFSET
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5,1
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COMMENTS
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A growing self-avoiding walk (GSAW) is a walk on a graph that is directed, does not visit the same vertex twice, and for which all neighbors of the endpoint are part of the walk, i.e., the endpoint is trapped. This sequence is about GSAWs on the grid graph of integer points (x,y) where x >= 0 and y is in {0,1,2,3,4,5}. The GSAW must start at the point (0,0). The length of a GSAW is the number of edges.
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LINKS
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FORMULA
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See Links section for generating function.
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EXAMPLE
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The a(5) = 2 walks are:
> * * * * * *
>
> * * * * * *
>
> * * * * * *
>
> *--* * * * *
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> * * * *--*--*
> | | |
> *--* * * *--*
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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