Isn't the real question "what are the odds of the lottery being random if this suspicious sequence comes up so soon"? I.e. given a specific sequence, how many

Isn't the real question "what are the odds of the lottery being random if this suspicious sequence comes up so soon"? I.e. given a specific sequence, how many weeks should you expect to wait before you see it? In the extreme if you would expect to see 1,2,3,4,5,6 after 500,000 weeks, but you see it in the first week, then probably the lottery is not random, right?