[seqfan] Re: Towards a proof of the conjectured formula for A289233?

[jonscho at hiwaay.net]

Thanks very much!  I hope to add the link to A289233 this evening.

Thanks again!

-- Jon


Quoting Joseph Myers <jsm at polyomino.org.uk>:

> On Sun, 24 Dec 2017, jonscho at hiwaay.net wrote:
>
>> For the cases in which n mod 12 is 3, 5, 6, or 8, such a result for
>> U-D can never hold, because it would result in noninteger values of U
>> and D.  Is there some straightforward counting argument that proves
>> that, when n mod 12 is 3, 5, 6, or 8, it's impossible to assemble all
>> the points into triples?  If so, then the exact value of A289233(n)
>> would be known for all n >= 0.
>
> See Conway and Lagarias, Tiling with Polyominoes and Combinatorial Group
> Theory (JCTA 53 (1990), 183-208).
>
> https://doi.org/10.1016/0097-3165(90)90057-4 (open access)
>
> --
> Joseph S. Myers
> jsm at polyomino.org.uk
>
> --
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