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A118339 revision #19

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

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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

Table of n, a(n) for n=1..17.

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.

Sequence in context: A103454 A024036 A111303 * A083858 A151241 A080948

Adjacent sequences: A118336 A118337 A118338 * A118340 A118341 A118342

KEYWORD

nonn,more

AUTHOR

R. J. Mathar, May 14 2006

STATUS

editing