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>     > function square(state,n) if n<state then n=n+1 return n,n*n end end
>     > for i,n in square,5,0 do print(i,n) end
> 
> I thought I understood how "for" worked [...] I don't see the general
> rule to which this conforms.

See http://www.lua.org/manual/5.0/manual.html#2.4.5 (the second part).