Taking the Myers-Brigg test, I had come out as an INFJ, though very close on the J/P axis. Which made sense, as neither the INFP or INFJ descriptions seemed to fully describe me. A good friend of mine had also attested that my behaviors were closer to that of a J, while my values were more in line with that of a P. After looking extensively for some type of personality description for a person who was borderline on that axis, I found the term INFx, though very little information on what being INFx connoted. I also found a site on the cognitive functions, which I used to combine the patterns for INFJ and INFP into the pattern for an INFx.
After that, I thought Id figure out the patterns for all the possible type combinations using x as a third possibility for each of the four axes. I had the shadow functions wrong at first because my initial strategy of combining the patterns was to use the functions where they first occurred and then strike them out the second time, but after reading the descriptions of functions in their various positions (using the function descriptions on Wikisocion) I realized that I was making a mistake with the patterns. (Plus that way a lot of the other patterns better mimic the structure of the original 16).
The tables below are the 76 patterns I concluded exist. I got the numbers working from the idea that like the basic patterns, all the numbers in the pattern should add up to 36 and that working inward the functions can be grouped into sets of nine. These patterns weren't meant to represent individuals whove shifted between different types, like a friend of mine who has been ENFP and an INFP at different times in her life and currently has the pattern of an ENFP except with Fi also in first position.
I've observed a lot of these patterns in real life, though now i feel like I've been limiting my awareness of individuals by choosing to view them from the perspective of type. I'm actually posting this theory because I'm prone to obsessive analysis and the awareness of this has shattered my autonomy. i'm hoping that posting this will restore that to me by giving me an outlet so I can stop thinking about it.
Sorry if this was rambling.