|
|
A042949
|
|
Configurations of linear chains in a 4-dimensional hypercubic lattice.
|
|
4
|
|
|
0, 0, 48, 576, 4752, 36864, 271680, 1931808, 13384320, 91133664, 610863072, 4051654752, 26592186336, 173304754368, 1121024960064
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence is C_{n,m} with m=1 (and d=4). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding 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
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|