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A334398 Number of endless self-avoiding walks of length n for the square lattice up to rotation, reflection, and path reversal. 0
1, 2, 3, 7, 16, 39, 96, 245, 631, 1642 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) > A334322(n)/16.

LINKS

Table of n, a(n) for n=1..10.

Nathan Clisby, Endless self-avoiding walks, arXiv:1302.2796 [cond-mat.stat-mech], 2013.

Code Golf Stack Exchange, Infinite Snake game

EXAMPLE

The a(4) = 7 step patterns of length 4 are

---->---->---->---->, ---->---->---->, ---->---->     ,

                                    |           |

                                    v           v---->

---->---->, ---->    ^, ---->     , and ---->     .

         |      |    |      |               |

         v      v---->      v---->          v

         |                       |          |

         v                       v          v---->

CROSSREFS

Cf. A334322.

Sequence in context: A153056 A235112 A081207 * A027118 A114582 A107387

Adjacent sequences:  A334395 A334396 A334397 * A334399 A334400 A334401

KEYWORD

nonn,walk,more

AUTHOR

Peter Kagey, Apr 26 2020

STATUS

approved

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Last modified August 10 14:50 EDT 2020. Contains 336381 sequences. (Running on oeis4.)