A118339 - OEIS

%I #20 Sep 28 2024 08:28:13

%S 1,3,15,63,267,1107,4623,19071,78987,324543,1337511,5483235,22527315,

%T 92200455,377965479,1544925891,6322891707

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

%C Gaunt et al. also enumerate clusters with upper limits on the vertex degree.

%C a(n) is the number of fixed linear or snake polycubes of size n. - _John Mason_, Sep 27 2024

%H D. S. Gaunt, J. L. Martin, G. Ord, G. M. Torrie, and S. G. Whittington, <a href="https://doi.org/10.1088/0305-4470/13/5/037">Restricted valence site animals on the simple cubic lattice</a>, J. Phys. A: Math. Gen. 13 (1980) 1791-1797.

%Y Cf. A182644, A363201, A363202.

%K nonn,more

%O 1,2

%A _R. J. Mathar_, May 14 2006