> How big is your n? 
>

not very big, I aim for the biggest n for which I can loop through all 
permutations of n and compute some numbers. I expect this to be between 10 
and 14.
 

> "Almost all" finite posets are connected, so uniform distribution of all 
> posets would work too for bigger n. 
>

how would I get uniform distribution on all posets?

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