A334324 -id:A334324 - cp's OEIS frontend

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

Michel Marcus, Apr 23 2020

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".

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

Cf. A334323, A334324, A334325.

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

A334323 Squared end-to-end distance of irreducible endless self-avoiding walks of length n for the square lattice.

Original entry on oeis.org

4, 32, 156, 640, 2380, 8304, 27580, 89216, 280980, 869360, 2649284, 7967808, 23722244, 69977040, 204845220, 595628032, 1721605028, 4950241488, 14167239268, 40376066560, 114635882508, 324361357936, 914912704060, 2573307218304, 7218778025700, 20201661701936, 56408010198948

Offset: 1

Michel Marcus, Apr 23 2020

nonn

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

Cf. A334322, A334324, A334325.

Name amended by Scott R. Shannon, Sep 16 2020

A334325 Number of irreducible, unrooted, unoriented self-avoiding chains of length n for the square lattice.

Original entry on oeis.org

2, 2, 4, 8, 20, 42, 100, 228, 540, 1278, 3088, 7436, 18176, 44436, 109536, 270726, 672400, 1674764, 4185888, 10488914, 26352252, 66354472, 167429028, 423270120, 1071908028, 2718939372, 6906918040, 17569856618, 44751600732, 114121225984, 291346481204, 744569863528

Offset: 1

Michel Marcus, Apr 23 2020

nonn

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

Cf. A334322, A334323, A334324.

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Links

Crossrefs

A334323 Squared end-to-end distance of irreducible endless self-avoiding walks of length n for the square lattice.

Views

Author

Keywords

Links

Crossrefs

Extensions

A334325 Number of irreducible, unrooted, unoriented self-avoiding chains of length n for the square lattice.

Views

Author

Keywords

Links

Crossrefs