dear Erik,

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

It's roughly L19/16.
That's slightly short, but will be correct in the first 85 or so digits.

You just need to correct for the positions with rotational and/or
reflective symmetry. Counting those exactly requires a big ugly
modification of my program that will take about the same running time,
but will just be painful
to develop. So I'll pass on that:-)

-John
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