[seqfan] Re: knight's distnaces

David Newman davidsnewman at gmail.com
Wed Dec 27 22:19:40 CET 2017


Thanks for the responses.  Now I can go back and see where I made mistakes
in my calculations.

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On Wed, Dec 27, 2017 at 2:18 PM, Sean A. Irvine <sairvin at gmail.com> wrote:

> 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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