[seqfan] Re: knight's distnaces

Sean A. Irvine sairvin at gmail.com
Wed Dec 27 20:18:12 CET 2017


The sequence you describe is already in the OEIS: https://oeis.org/A018840


On 28 December 2017 at 05:47, David Newman <davidsnewman at gmail.com> wrote:

> 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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