Ok, my understanding of how this worked was nearly completely incorrect! It’s been a while. But it still can be utilized as an odd sequence generator.
What the (or, my) A-115 appears to do (please correct me if I’m wrong here anyone) is, each time the input signal is at or below zero V, it will generate a negative voltage, and when the signal is above zero V, it does not. So, it essentially generates a pulse wave, with the depth dependent on how high you turn a given knob.
The original does this every zero crossing. The f/2 knob does it every 2, the f/4 every 4, etc, down to the f/16.
Additionally, all these voltage changes are summed. Because all the generated voltages are negative, this means the generated “sequence” will always be downwards. It also means you get interesting downward stepping patterns that are transposed as different divisions play off against each other.
I made a crude video of it. You do need to start your oscillator quite high to get it all in range, or else you can offset it.