A326743 Number of length n self-avoiding walks on the kisrhombille tiling starting at a degree 12 vertex.

1, 12, 48, 288, 1344, 6828, 32892, 159612, 766356, 3671076, 17521560, 83440932, 396541656, 1881162084, 8909612856, 42136382208, 199020641232, 938971412124, 4425660916764

Offset: 0

Author

Sean A. Irvine, Jul 23 2019

Keywords

• nonn
• walk
• more

Comments

The kisrhombille tiling, Dual(4.6.12), is the dual of the truncated trihexagonal tiling.

Links

• Sven Erick Alm, Upper and lower bounds for the connective constants of self-avoiding walks on the Archimedean and Laves lattices, J. Phys. A.: Math. Gen., 38 (2005), 2055-2080. Also technical report of the same name, 2004. See Table 12, column f_1(n).
• Sean A. Irvine, Java program (github)
• Wikipedia, Kisrhombille tiling

Crossrefs

Cf. A326744 (degree 6 vertex), A326745 (degree 4 vertex), A249795 (dual), A298036 (coordination sequence).

Extensions

a(18) from Alm (2005) added by Andrey Zabolotskiy, Oct 18 2024