cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-9 of 9 results.

A334322 Number of endless self-avoiding walks of length n for the square lattice.

Original entry on oeis.org

4, 12, 28, 76, 204, 540, 1404, 3724, 9748, 25772, 67940, 179068, 472580, 1245620, 3286308, 8666956, 22861604, 60301764, 159063748, 419582396, 1106796012, 2919664716, 7701735292, 20317148476, 53595401604, 141385319932, 372973583908, 983913216292, 2595592842460
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Comments

The article introduces "endless self-avoiding walks (that) are the subset of walks which are still self-avoiding after they have been concatenated with copies of themselves head-to-tail ad infinitum".

Links

Crossrefs

Cf. A334323, A334324, A334325.
Cf. A334326, A334330, A334331, A334332, A334333, A334334.

A334330 Number of endless self-avoiding walks of length 2*n for the honeycomb lattice.

Original entry on oeis.org

1, 6, 18, 60, 210, 726, 2448, 8448, 28818, 98556, 336618, 1150320, 3928944, 13419204, 45828192, 156512220, 534463698, 1825120584, 6232259412, 21281168202, 72666555570, 248124503652, 847224827676, 2892836367066, 9877456541376, 33725891989626
Offset: 0

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

A001668 counts all self-avoiding walks on the honeycomb lattice, without the "endless" restriction.
Cf. A334322 (square lattice), A334326 (simple cubic lattice), A334331 (triangular lattice), A334332 (union jack lattice), A334333 (body centered cubic lattice), A334334 (face centered cubic lattice).

A334331 Number of endless self-avoiding walks of length n on the triangular lattice.

Original entry on oeis.org

6, 30, 114, 486, 1986, 8202, 33858, 140262, 580938, 2407710, 9980394, 41384106, 171634482, 711932538, 2953394214, 12253006566, 50838740046, 210946278126, 875324356398, 3632308990686, 15073375131306, 62553271396074
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334322, A334326, A334330, A334332, A334333, A334334.

A334332 Number of endless self-avoiding walks of length n for the union jack lattice.

Original entry on oeis.org

8, 56, 296, 1816, 10728, 62648, 365464, 2130488, 12424112, 72464136, 422680024, 2465699704, 14384367304, 83919450272, 489611186736, 2856635570680, 16667509269248, 97251708586688
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Crossrefs

Cf. A334322, A334326, A334330, A334331, A334333, A334334.

A334333 Number of endless self-avoiding walks of length n for the body centered cubic lattice.

Original entry on oeis.org

8, 56, 344, 2312, 14648, 96152, 622616, 4066376, 26456024, 172470776, 1124590904, 7328945336, 47829176312, 311758824440, 2035191240584, 13269735071816, 86634355605416, 565037351668904
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334322, A334326, A334330, A334331, A334332, A334334.

A334334 Number of endless self-avoiding walks of length n for the face centered cubic lattice.

Original entry on oeis.org

12, 132, 1284, 12756, 126612, 1265604, 12652932, 126616404, 1267690812, 12697464132, 127218134748, 1274923451364, 12779117065740, 128110554439020
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334322, A334326, A334330, A334331, A334332, A334333.

A334327 Squared end-to-end distance of irreducible endless self-avoiding walks of length n for the simple cubic lattice.

Original entry on oeis.org

6, 72, 558, 3744, 23070, 135288, 764862, 4214784, 22773798, 121158840, 636821526, 3312601632, 17087666310, 87499403544, 445295758230, 2253803314176, 11353558220742, 56952225122616, 284620991825574, 1417625514526560, 7039475232292062, 34860099689171064, 172198320473193822
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334326, A334328, A334329.

Extensions

Name amended by Scott R. Shannon, Sep 16 2020

A334328 Number of irreducible endless self-avoiding walks of length n for the simple cubic lattice.

Original entry on oeis.org

6, 24, 120, 576, 2760, 12984, 60984, 285408, 1333800, 6233160, 29160384, 136266336, 637801008, 2981648544, 13958155920, 65277740160, 305608333056, 1429708907808, 6693530115984, 31322446230480, 146644481840472, 686366895112272, 3213444320539704, 15042778262399904
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334326, A334327, A334329.

A334329 Number of irreducible, unrooted, unoriented self-avoiding chains of length n for the simple cubic lattice.

Original entry on oeis.org

3, 6, 20, 72, 276, 1082, 4356, 17838, 74100, 311658, 1325472, 5677764, 24530808, 106487448, 465271864, 2039929380, 8988480384, 39714136328, 176145529368, 783061155762, 3491535281916, 15599247616188, 69857485229124, 313391213799998
Offset: 1

Views

Author

Michel Marcus, Apr 23 2020

Keywords

Links

Crossrefs

Cf. A334326, A334327, A334328.
Showing 1-9 of 9 results.

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