[seqfan] Re: Unlabeled Motzkin numbers - non-intersecting chords on a free circle

[Max Alekseyev]

I've got a generating function for these numbers and produced many
more terms. They match Dave's counts.
The sequence is now added as A185100.

Regards,
Max

On Sat, Nov 6, 2010 at 3:21 AM, David Scambler <dscambler at bmm.com> wrote:
> Folk,
> If a circle is free to be flipped over (by analogy to free ominos) then there are fewer unique ways to draw non-intersecting chords between equally spaced unlabeled points.
>
> My counts are:
>
> 1,1,2,2,4,5,11,16,36,65,150,312,756,1743,4353...
>
> Confirmation would be welcome,
> Regards
> dave
>
>
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