F-112 to F-116: the missing years.

Meaningless trivia, but.
After the F-111, the US designations jump right to the F-117.
Is/was there a F-112/F-116?

And does anybody have a good theory why the Nighthawk got stuck with the F-117 moniker anyhow? I understand the F for fighter part, it was a sop to the bomber generals that were trying to keep the B-1A up, and its easier to get pilots for a F plane than a B or A. But how did they go from the teen series, back to the century series?

The only things I could come up with was
A: espionage, keep the Russian guessing.
B1: It was a Skunksworks aircraft, and Kelly Johnson said so :D:D:D (I know, he was “retired”, but you don’t retire a legend like that.)
B2: (a stretch) a snipe at the Pentagon over the whole RS/SR-71 glitch, which DID irk Ben Rich
C: Maybe it WAS the “F-19”, until the model companies got in on the act???

As far as that goes, what happened to the F-24 to F-34?

Matt