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A327131 Cells visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step. 4
1, 20, 6, 9, 4, 8, 5, 10, 13, 2, 14, 7, 11, 22, 3, 15, 12, 23, 26, 29, 16, 19, 34, 54, 17, 31, 50, 47, 24, 21, 18, 32, 35, 55, 30, 27, 45, 68, 25, 42, 39, 36, 33, 53, 78, 48, 51, 76, 106, 49, 73, 28, 46, 43, 40, 37, 58, 84, 87, 60, 63, 41, 69, 72, 101, 67, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The infinite hexagonal board is numbered spirally as:
.
17--18--19...
/
16 6---7---8
/ / \
15 5 1---2 9
\ \ / /
14 4---3 10
\ /
13--12--11
.
In Glinski's hexagonal chess, a knight (N) can move to these (o) cells:
.
. . . . .
. . o o . .
. o . . . o .
. o . . . . o .
. . . . N . . . .
. o . . . . o .
. o . . . o .
. . o o . .
. . . . .
.
This sequence is finite and ends at a(83966) = 72085 when the knight is "trapped".
LINKS
Scott R. Shannon, Image showing the 83965 steps of the knight's path. The green central dot is the starting square and the red dot, located on the edge at the 7:30 clock position, the final square. Blue dots show the twelve occupied squares surrounding the final square. The lowest unvisited square, 71301, is the yellow dot on the edge at the 9:00 clock position.
CROSSREFS
Sequence in context: A161997 A274458 A351025 * A076594 A174991 A217418
KEYWORD
nonn,fini,full
AUTHOR
Sangeet Paul, Aug 22 2019
STATUS
approved

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Last modified June 18 17:16 EDT 2024. Contains 373482 sequences. (Running on oeis4.)