Thanks, I though so, but I just wanted to make sure. So all numbers in this
sequence must be odd because of color symmetry + 1 for the empty board.

I was wondering if there is an efficient way to find the number of unique
positions with symmetrical positions excluded.

Erik


On Fri, Jan 22, 2016 at 4:45 PM, John Tromp <john.tr...@gmail.com> wrote:

> dear Erik,
>
> > Does the number include symmetrical positions (rotations / mirroring /
> color
> > reversal)?
>
> Yes, of course.
> This is also apparent from the table at the bottom listing 57 legal
> 2x2 positions. Figure 4 on page 5 of our paper
>   http://tromp.github.io/go/gostate.pdf
> shows how these 57 positions form 13 equivalence classes with respect
> to mirroring/reflection which further reduces to 7 classes when
> considering color symmetry as well.
>
> regards,
> -John
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