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A323852
Triangle read by rows: T(n,k) (n>=2, 2<=k<=n) = number of figure 8's having 2n edges in one loop and 2k edges in the other and which are weakly embeddable in the square lattice.
1
2, 8, 8, 32, 64, 124, 144, 288, 1096, 2388, 708, 1408, 5304, 22888
OFFSET
2,1
LINKS
S. G. Whittington and J. P. Valleau, Figure eights on the square lattice: enumeration and Monte Carlo estimation, J. Phys. A 3 (1970), 21-27. See Table 1.
EXAMPLE
Triangle begins:
2,
8, 8,
32, 64, 124,
144, 288, 1096, 2388,
708, 1408, 5304, 22888,
...
CROSSREFS
First two columns are A003304, A323853.
Sequence in context: A230708 A230739 A227326 * A064231 A181130 A212196
KEYWORD
nonn,tabl,more
AUTHOR
N. J. A. Sloane, Feb 09 2019
STATUS
approved