I know it's a layout detail but… Why are the coin tables listed in what seems to me a strange, confusing order? Am I missing something? Why not use binary/alphabetical order of its H/T “code”, so that flipping sequences beginning the same way are always grouped together, and thus easier to search/find?
ie.:
- hhhh
- hhht
- hhth
- hhtt
- hthh
- htht
- …
- ttth
- tttt