A118339 Number of simple chains with n-1 edges strongly embedded in a simple cubic lattice.

1, 3, 15, 63, 267, 1107, 4623, 19071, 78987, 324543, 1337511, 5483235, 22527315, 92200455, 377965479, 1544925891, 6322891707

Offset: 1

Author

R. J. Mathar, May 14 2006

Keywords

• nonn
• more

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

Cf. A182644, A363201, A363202.