login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A323699 Number of uncrossed knight's walks as specified in A323700, counting isomorphisms only once. 3
1, 8, 56, 404, 2563, 16516, 102280, 639532, 3899662 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,2

COMMENTS

First differs at a(7)=404 from A323700(7)=406, because there are two walks of length 7 trapped at both ends. If seen as unrooted walks, their path shapes become identical after path reversal and reflection.

LINKS

Table of n, a(n) for n=4..12.

Hugo Pfoertner, Illustrations of uncrossed knight's walks trapped after n moves, (2019).

Hugo Pfoertner, Probability density for the number of moves to self-trapping, (2019).

EXAMPLE

In algebraic chess notation, the two walks double counted in A323700(7) are

  N c4 d2 e4 c5 a4 b2 d1 c3 and N d4 c2 e3 d5 b4 a2 c1 b3.

CROSSREFS

Cf. A003192, A323131, A323559, A323560, A323700.

Sequence in context: A252701 A033134 A126985 * A323700 A182430 A027081

Adjacent sequences:  A323696 A323697 A323698 * A323700 A323701 A323702

KEYWORD

nonn,walk,hard,more

AUTHOR

Hugo Pfoertner, Jan 24 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 16 21:35 EDT 2021. Contains 346077 sequences. (Running on oeis4.)