I'm not sure what is the point of eliminating 'ifs'? At any rate they can be easily replaced by e.g. 'while' loops, so in my opinion you should either eliminate both of them or none.
Again, the best way to generate such a sequence is using depth-first search or recursion. By prohibiting the usage of IFs, all solutions are inefficient (because we can't cut the tree, and are forced to follow all branches).
Which doors are open?
Find state names that end with the letter A
Back to basics 21 - Matrix replicating
Make an anonymous function that has variable output
Successive zeros (harder)
Seperate array to small section according to its index position
Big Integer Sqrt
Find the right number make the equation
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