This construction was, presumably, developed for translating an Ancient Chinese expression. I don't know how wide this expression or similar ones are used in AC, but 淮南子 uses 居一年 just as it is used in Japanese today (to be exact, Japanese used this as a material for its own new construction).
The traditional kambun style translates this into:
Again, I don't know if other Chinese verbs can take a quantifier object and make an independent clause. Nor am I to suggest 淮南子 is the direct source of this Japanese construction. Having said that, the Japanese construction seems to be used with a variety of verbs. Two more examples than have been mentioned are: