A323133 - OEIS

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A323133

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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.

LINKS

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

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

EXAMPLE

See Pfoertner link.

CROSSREFS

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

Sequence in context: A037956 A095369 A006493 * A348950 A292106 A037375

Adjacent sequences: A323130 A323131 A323132 * A323134 A323135 A323136

KEYWORD

nonn,walk,more,hard

AUTHOR

Hugo Pfoertner, Jan 05 2019

STATUS

approved