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

Author

Michel Marcus, Apr 23 2020

Keywords

• nonn
• walk

Links

• 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).