A326744 Number of length n self-avoiding walks on the kisrhombille tiling starting at a degree 6 vertex.

1, 6, 42, 198, 1068, 5196, 25902, 125874, 609780, 2933562, 14058132, 67139772, 319822572, 1520161374, 7211880744, 34157352042, 161541458514, 763007236542, 3599867690610

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_2(n).
• Sean A. Irvine, Java program (github)
• Wikipedia, Kisrhombille tiling

Crossrefs

Cf. A326743 (degree 12 vertex), A326745 (degree 4 vertex), A249795 (dual), A298038 (coordination sequence).

Extensions

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