A249795 -id:A249795 - cp's OEIS frontend

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

Sean A. Irvine, Jul 23 2019

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

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

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

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

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

Original entry on oeis.org

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

Offset: 0

Sean A. Irvine, Jul 23 2019

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

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

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

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

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

Original entry on oeis.org

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

Offset: 0

Sean A. Irvine, Jul 23 2019

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

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

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

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

cp's OEIS Frontend

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

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

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

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