[seqfan] knight's distnaces

David Newman davidsnewman at gmail.com
Wed Dec 27 17:47:50 CET 2017


All this talk of queens has made me think of knights.  A018837 gives "the
number of steps for knight to reach (n,0) on an infinite chessboard.

I'm thinking of an piece which I shall call a 3-2-knight because it may
move 3 boxes horizontally and then 2 boxes vertically, or it  may move 3
boxes vertically  and then 2 boxes horizontally.  (The ordinary chess
knight could be called a 2-1-knight by analogy.)

I tried to compute a sequence analogous to A018837 . I got a sequence which
begins 0,7,4,5,2,7,2 which doesn't seem to be in the OEIS.  Could someone
check the computation?  Is this of interest?  What of i-j-knights for other
values?

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