I think there are 8 solutions.  
Given one, minimal, solution,  0 1 3 2, how about this?

   ((,|."1)@:(|."0 1~i.@#))'0132'
0132
1320
3201
2013
2310
0231
1023
3102

Any use?

Mike

Sent from my iPad

> On 25 May 2020, at 12:47, Brian Schott <schott.br...@gmail.com> wrote:
> 
> I want all permutations of  i. 4 for which 0 and 3 cannot be adjacent, nor
> can 1 and 2. My idea is to create a as follows to describe my situation.
> 
>   ]a =. 0 1 1 0,:i. 4
> 
> 0 1 1 0
> 
> 0 1 2 3
> 
> 
> Next I created b and rotations on b to list the possibilities I can think
> of. So I can think of 6 permutations. Are there more and is there a better
> way to generate the real qualifying permutations?
>   ]b =. 0 1 3 2 ,:1 0 2 3
> 0 1 3 2
> 1 0 2 3
>   1|."1 b
> 1 3 2 0
> 0 2 3 1
>   _1|."1 b
> 2 0 1 3
> 3 1 0 2
> -- 
> (B=)
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