OFFSET
1,4
COMMENTS
A hexagonal board of edge-length 3, for example, 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 . .
. . . . .
.
a(n) stays constant at 72085 for n >= 177 since 72085 is also the last cell visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step.
LINKS
Sangeet Paul, Table of n, a(n) for n = 1..200
Chess variants, Glinski's Hexagonal Chess
Wikipedia, Hexagonal chess - GliĆski's hexagonal chess
CROSSREFS
KEYWORD
nonn
AUTHOR
Sangeet Paul, Aug 22 2019
STATUS
approved