A323132 Number of uncrossed unrooted knight's paths of length n on an infinite board.

1, 6, 25, 160, 966, 6018, 37079, 227357

Offset

1,2

Comments

Paths which are equivalent under rotation, reflection or reversal are counted only once.

Links

Table of n, a(n) for n=1..8.

Hugo Pfoertner, Illustrations of unrooted uncrossed knight's paths of length <= 4, (2019).

Example

See illustrations at Pfoertner link.

Crossrefs

Cf. A003192, A001334, A151541, A272773, A306178, A323131, A323133, A323134.

Sequence in context: A200375 A009464 A042529 * A357032 A183249 A199008

Adjacent sequences: A323129 A323130 A323131 * A323133 A323134 A323135

Keyword

nonn,walk,more,hard

Author

Hugo Pfoertner, Jan 05 2019

Status

approved