A334322 Number of endless self-avoiding walks of length n for the square lattice.

4, 12, 28, 76, 204, 540, 1404, 3724, 9748, 25772, 67940, 179068, 472580, 1245620, 3286308, 8666956, 22861604, 60301764, 159063748, 419582396, 1106796012, 2919664716, 7701735292, 20317148476, 53595401604, 141385319932, 372973583908, 983913216292, 2595592842460

Offset

1,1

Comments

The article introduces "endless self-avoiding walks (that) are the subset of walks which are still self-avoiding after they have been concatenated with copies of themselves head-to-tail ad infinitum".

Links

Table of n, a(n) for n=1..29.

Nathan Clisby, Endless self-avoiding walks, arXiv:1302.2796 [cond-mat.stat-mech], 2013. See Table 2 column e_n p. 22.

Crossrefs

Cf. A334323, A334324, A334325.

Cf. A334326, A334330, A334331, A334332, A334333, A334334.

Sequence in context: A002932 A337441 A242079 * A302763 A121312 A091521

Adjacent sequences: A334319 A334320 A334321 * A334323 A334324 A334325

Keyword

nonn,nice

Author

Michel Marcus, Apr 23 2020

Status

approved