

A042949


Configurations of linear chains in a 4dimensional hypercubic lattice.


4



0, 0, 48, 576, 4752, 36864, 271680, 1931808, 13384320, 91133664, 610863072, 4051654752, 26592186336, 173304754368, 1121024960064
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OFFSET

1,3


COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the nth term of the current sequence is C_{n,m} with m=1 (and d=4). Here, for a ddimensional hypercubic lattice, C_{n,m} is "the number of configurations of an nbond selfavoiding chain with m neighbor contacts." (For d=2, we have C_{n,m=1} = A033155(n) while for d=3, we have C_{n,m=1}=A047057(n).) These numbers are given in Table I (p. 1088) in the paper by Nemirovsky et al. (1992).  Petros Hadjicostas, Jan 04 2019


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KEYWORD

nonn,more


AUTHOR



EXTENSIONS



STATUS

approved



