Note that you should always add salt (and apply it in an unpredictable manner) to your passwords in storage even if you sha256 "encrypt" it (or "encrypt" it with even stronger algorithms). You could even divide the password in two, or four, and sprinkle the spice around and in between, if you are really paranoid.
You can generate it, then come back to the form above with it, and add spicy things before, in between and/or after, then sha256 it.
This service does NOT log or in any other manner store passwords generated.