[seqfan] Re: R: Re: Knight's tours

[Brad Klee]

Hi John, and Seqfans,

In the end, it could be perfectly admissible just to run 64
backtracking algorithms, and then riffle the outputs. Good
on you to put in extra thought and rigour though.

In the meantime, I submitted:

https://oeis.org/draft/A306287
https://oeis.org/draft/A306288

These sequences use an alternative representation of
polyominoes. The format is not as condensed as
A246559, but it may be easier to read out a line of
data and reconstruct the actual polyomino.

While we are on this question, what about the earlier
Peano's curve [1]? Is not another sequence a la
A163540 already in the OEIS?

It looks as if the Peano curve will also admit a
limit-periodic, tree-growth construction via another
function similar to the ruler function. Thus the Peano
curve gives an early (if not historical first) example of a
limit-periodic plane pattern. Getting this noted in OEIS
would be a nice service to Italian history.

Cheers,

Brad

[1] http://mathworld.wolfram.com/PeanoCurve.html