A039741 Number of fixed n-celled lattice animals in the b.c.c. lattice (8 nearest neighbors), or connected truncated octahedra, or vertex-connected cubes.

1, 4, 28, 216, 1790, 15587, 140746, 1305920, 12374069, 119223556, 1164465225, 11502924648, 114721053058, 1153539900783

Offset

1,2

Links

Table of n, a(n) for n=1..14.

M. F. Sykes, Generating functions for connected embeddings in a lattice: I. Strong embeddings, J. Phys. A: Math. Gen. 19 (1986) 1007-1025.

M. K. Wilkinson, Branched polymers: exact enumeration study of three-dimensional lattice animals classified by valence distribution, Journal of Physics A: Mathematical and General, vo.19, no.16, pp.3431-3441, (Nov 11 1986).

Crossrefs

Cf. A038171 (free).

35th row of A366767.

Sequence in context: A085363 A275650 A213232 * A130185 A182432 A026020

Adjacent sequences: A039738 A039739 A039740 * A039742 A039743 A039744

Keyword

nonn,more

Author

Achim Flammenkamp

Status

approved