A344070 -id:A344070 - cp's OEIS frontend

A344071 Number of 2n-step self-avoiding cycles on the Laves graph.

1, 1, 0, 0, 0, 10, 0, 14, 112, 282, 600, 2618, 9400, 27378, 93828, 332070, 1127840, 3818438, 13369560, 46776898, 163073440, 572984748, 2026468708, 7176533646

Offset: 0

Sean A. Irvine, May 09 2021

Sean A. Irvine, Java program (github)
Wikipedia, Laves graph

Cf. A046944, A344040, A344070, A001337, A038620.

Name clarified by Andrey Zabolotskiy, Jun 03 2021

A038515 Number of self-avoiding walks on a tetrahedral (diamond) net, having 2n steps and forming a closed loop.

Original entry on oeis.org

1, 0, 0, 6, 12, 120, 564, 4074, 25008, 174618, 1181100, 8358306, 59167872, 427081512, 3103408308, 22797207330, 168616517760, 1256350493196

Offset: 0

Wouter Meeussen

Anthony J. Guttmann and Iwan Jensen, Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates, in: Polygons, Polyominoes and Polycubes, LNP 775, Springer, 2009. See Table 16.12 on p. 480 for the sequence a(n)/n.
Sean A. Irvine, Java program (github)

Cf. A001394, A001667, A001413, A001337, A344070, A344071.

a(0)=1 and a(9)-a(15) from Sean A. Irvine, Jan 16 2021

a(16)-a(17) using the data from Guttmann & Jensen added by Andrey Zabolotskiy, Jun 02 2022

A344039 Number of n-step self-avoiding walks on the hypertriangular lattice with no non-contiguous adjacencies.

Original entry on oeis.org

1, 6, 24, 96, 354, 1326, 4926, 18210, 67326, 247722, 910728, 3341904, 12249210, 44852280, 164073078, 599739906, 2190683418, 7997186088, 29178065364, 106405678806, 387867574110, 1413283574238

Offset: 0

Sean A. Irvine, May 07 2021

Sean A. Irvine, Java program (github)

Cf. A046945, A336906, A336907, A344040, A344070, A344126.

A344126 Coordination sequence for the hypertriangular lattice.

Original entry on oeis.org

1, 6, 24, 48, 86, 138, 192, 260, 348, 432, 530, 654, 768, 896, 1056, 1200, 1358, 1554, 1728, 1916, 2148, 2352, 2570, 2838, 3072, 3320, 3624, 3888, 4166, 4506, 4800, 5108, 5484, 5808, 6146, 6558, 6912, 7280, 7728, 8112, 8510, 8994, 9408, 9836, 10356, 10800

Offset: 0

Sean A. Irvine, May 09 2021

Reticular Chemistry Structure Resource (RCSR), The lcy net
Index entries for linear recurrences with constant coefficients, signature (1,0,2,-2,0,-1,1).

Cf. A046945, A344039, A344070, A005901, A038620.

G.f.: (1+5*x+18*x^2+22*x^3+28*x^4+16*x^5+7*x^6-3*x^7+2*x^8) / ((x^2+x+1)^2 * (1-x)^3).

cp's OEIS Frontend

A344071 Number of 2n-step self-avoiding cycles on the Laves graph.

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A038515 Number of self-avoiding walks on a tetrahedral (diamond) net, having 2n steps and forming a closed loop.

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Author

Keywords

Links

Crossrefs

Extensions

A344039 Number of n-step self-avoiding walks on the hypertriangular lattice with no non-contiguous adjacencies.

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Author

Keywords

Links

Crossrefs

A344126 Coordination sequence for the hypertriangular lattice.

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