A326745 Number of length n self-avoiding walks on the kisrhombille tiling starting at a degree 4 vertex.

1, 4, 32, 160, 852, 4232, 21020, 102652, 497720, 2397844, 11501012, 54967576, 261998092, 1245969948, 5913866044, 28021308344, 132570243968, 626365075348, 2956008677160

Offset

0,2

Comments

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

Links

Table of n, a(n) for n=0..18.

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_3(n).

Sean A. Irvine, Java program (github)

Wikipedia, Kisrhombille tiling

Crossrefs

Cf. A326743 (degree 12 vertex), A326744 (degree 6 vertex), A249795 (dual), A298040 (coordination sequence).

Sequence in context: A272511 A271415 A270619 * A083299 A336448 A259854

Adjacent sequences: A326742 A326743 A326744 * A326746 A326747 A326748

Keyword

nonn,walk,more

Author

Sean A. Irvine, Jul 23 2019

Extensions

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

Status

approved