Enclave Oil Rig trap room puzzle

The center of the Oil Rig Access Corridor is occupied by nine small rooms in a 3x3 grid with locked (and trapped) doors between them. Each room has a computer console in it that opens some doors and closes others. Apart from the main exit to the south, there are two side rooms with lots of equipment (including a set of Advanced power armor Mk II and a G.E.C.K..) Rooms have an electric floor that does damage to the player every couple of seconds.

Walkthrough
In the game data, rooms and doors are designated as follows:

Initially, all doors are closed except the outer ones - 2n, 4w, 6s and 8s.

Computers open and close the following doors:

Logic for computer 3 both opens and closes 3s and 4e. In practice, this results in it toggling them every time it's used. So, it's the only computer that has an effect when used repeatedly.

Quick solution
The fastest sequence to get through is 2-3-1-7-[visit left side room]-8-9-[visit right side room].

Optionally, after that, 6-2-3-3-9 opens up a complete route through the maze and access to all rooms.