A334330 Number of endless self-avoiding walks of length 2*n for the honeycomb lattice.

1, 6, 18, 60, 210, 726, 2448, 8448, 28818, 98556, 336618, 1150320, 3928944, 13419204, 45828192, 156512220, 534463698, 1825120584, 6232259412, 21281168202, 72666555570, 248124503652, 847224827676, 2892836367066, 9877456541376, 33725891989626

Offset

0,2

Links

Table of n, a(n) for n=0..25.

Nathan Clisby, Endless self-avoiding walks, arXiv:1302.2796 [cond-mat.stat-mech], 2013. See Table 4 p. 23.

Crossrefs

A001668 counts all self-avoiding walks on the honeycomb lattice, without the "endless" restriction.

Cf. A334322 (square lattice), A334326 (simple cubic lattice), A334331 (triangular lattice), A334332 (union jack lattice), A334333 (body centered cubic lattice), A334334 (face centered cubic lattice).

Sequence in context: A119106 A223468 A223211 * A144706 A074427 A034751

Adjacent sequences: A334327 A334328 A334329 * A334331 A334332 A334333

Keyword

nonn,walk

Author

Michel Marcus, Apr 23 2020

Status

approved