Sorry if I appear to be anal here.. this is really only a matter of semantics..

Strictly speaking, Martingale is doubling. Nothing else is a Martingale.

D'Alembert is incrementing/decrementing by 1 unit only.

The "Binary Equation" is a recently made-up term. The progression is a D'Alembert up to a point where it then mutates to something more akin to a Martingale. It's very dangerous.

There is quite a number of other progressions, some of the other well known ones do have names, this falls more under the topic of betting/gambling.