[seqfan] Re: a last-minute entry for the A200000 race
franktaw at netscape.net
franktaw at netscape.net
Tue Nov 22 04:45:50 CET 2011
I think a(1) = 1 is correct. I think of it as a small circle inside the
square, rather than a fat dot.
Is there a table for the number of meanders in an n x k rectangle?
Franklin T. Adams-Watters
-----Original Message-----
From: Benoît Jubin <benoit.jubin at gmail.com>
Actually, I cannot decide yet if a(1) should be 0 or 1. My idea was
that a(1)=1 is the constant path. But if one sees meanders as
equivalence classes of certain embeddings of the circle, then a(1)=0.
I think we'll have a more convincing answer when we have a more
combinatorial representation of these meanders, which might help us
find a generating function.
Benoit
On Mon, Nov 21, 2011 at 3:21 AM, Maximilian Hasler
<maximilian.hasler at gmail.com> wrote:
> It would certainly be helpful, or even mandatory, to give the precise
> mathematical definition of this term, as it is to be understood in the
> given sequence.
>
> Maximilian
>
> 2011/11/21 Benoît Jubin <benoit.jubin at gmail.com>:
>>>> I believe A200715[1] should be 0, not 1.
>>> There is one way to draw it - draw nothing - the empty meander.
>>
>> I would say that a(1)=1 is rather the constant meander: draw a fat
dot.
>>
>> Benoit
>
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