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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

%I #24 Dec 04 2023 12:31:57

%S 1,4,28,216,1790,15587,140746,1305920,12374069,119223556,1164465225,

%T 11502924648,114721053058,1153539900783

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

%H M. F. Sykes, <a href="https://dx.doi.org/10.1088/0305-4470/19/6/028">Generating functions for connected embeddings in a lattice: I. Strong embeddings</a>, J. Phys. A: Math. Gen. 19 (1986) 1007-1025.

%H M. K. Wilkinson, <a href="http://dx.doi.org/10.1088/0305-4470/19/16/038">Branched polymers: exact enumeration study of three-dimensional lattice animals classified by valence distribution</a>, Journal of Physics A: Mathematical and General, vo.19, no.16, pp.3431-3441, (Nov 11 1986).

%Y Cf. A038171 (free).

%Y 35th row of A366767.

%K nonn,more

%O 1,2

%A _Achim Flammenkamp_

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)