Now I only use sequences I've come up with myself.
Does that mean that you've invented a new method? I'd be very interested to hear more about those sequences, and your method.
I also prefer to use my own methods, with as few sequences as possible (I only need 3!). I'll probably be starting a thread about those soon. My mantras include one that is a bit like your purpose-oriented ones: it goes "Down, in-from the right (or left, or far, as the case may be), up, in from far, down, out to the right, up, out to far". I also think in terms of "cages", "pillars", and "wheels".