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A072174 Maximum path length of a crippled knight on an n X n board. 0
1, 1, 5, 9, 16, 27, 38 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

A crippled knight moves one square vertically and two horizontally (or vice versa) and can't land on or pass over any square on which it is previously rested. The initial placement counts as the first move. a(8)>=49.

REFERENCES

A crippled knight is defined in the Journal of Recreational Mathematics, problem 2465, Vol. 29 #4 and Vol. 30 #4 has an example for 8 X 8.

EXAMPLE

For 3 X 3, the longest path is 1 0 3/4 0 0/0 2 5, so a(3)=5.

CROSSREFS

Sequence in context: A165594 A023497 A105600 * A188555 A020958 A020750

Adjacent sequences:  A072171 A072172 A072173 * A072175 A072176 A072177

KEYWORD

hard,more,nonn

AUTHOR

Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Jun 29 2002

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.