

A338290


Squares visited by either knight when a white knight and a black knight are moving on a spirally numbered board, always to the lowest available unvisited square; white moves first.


5



1, 10, 12, 3, 9, 6, 4, 15, 7, 2, 18, 5, 35, 8, 14, 11, 29, 24, 32, 27, 55, 48, 28, 23, 13, 20, 34, 39, 17, 16, 40, 19, 21, 22, 46, 41, 25, 44, 50, 71, 79, 74, 26, 45, 47, 42, 76, 69, 43, 38, 70, 63, 105, 66, 148, 99, 65, 36, 98, 61, 37, 94, 62, 31, 33, 54, 30, 85, 53, 124, 84, 51
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OFFSET

1,2


COMMENTS

Board is numbered with the square spiral:
1716151413 .
  .
18 543 12 .
    .
19 6 12 11 .
   .
20 78910 .
 .
212223242526
Both knights start on square 1, white moves to the lowest unvisited square (10), black then moves to the lowest unvisited square (12) and so on...
This sequence is finite, on the 3758th move or the black knight's 1879th step, square 4242 is visited, after which white wins and the game is over.
The sequences generated by 4 knights and 8 knights also produce new sequences not yet in the OEIS.


LINKS



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



