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A334330
Number of endless self-avoiding walks of length 2*n for the honeycomb lattice.
6
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
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
KEYWORD
nonn,walk
AUTHOR
Michel Marcus, Apr 23 2020
STATUS
approved