A323133 Number of symmetric uncrossed unrooted knight's paths of length n on an infinite board.

1, 6, 7, 29, 46, 170, 299, 969

Offset: 1

Author

Hugo Pfoertner, Jan 05 2019

Keywords

• nonn
• walk
• more
• hard

Comments

A path is considered as symmetric if its "spine", i.e., the connection of the end points of the moves by straight lines, has mirror or point symmetry. The non-symmetric details of a single move are ignored.

Examples

			See Pfoertner link.
		

Links

• Hugo Pfoertner, Illustrations of symmetric uncrossed knight's paths of length <= 6, (2019).

Crossrefs

Cf. A003192, A306176, A306178, A323131, A323132, A323134.