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A118339
Number of simple chains with n-1 edges strongly embedded in a simple cubic lattice.
2
1, 3, 15, 63, 267, 1107, 4623, 19071, 78987, 324543, 1337511, 5483235, 22527315, 92200455, 377965479, 1544925891, 6322891707
OFFSET
1,2
COMMENTS
Gaunt et al. also enumerate clusters with upper limits on the vertex degree.
a(n) is the number of fixed linear or snake polycubes of size n. - John Mason, Sep 27 2024
LINKS
D. S. Gaunt, J. L. Martin, G. Ord, G. M. Torrie, and S. G. Whittington, Restricted valence site animals on the simple cubic lattice, J. Phys. A: Math. Gen. 13 (1980) 1791-1797.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
R. J. Mathar, May 14 2006
STATUS
approved