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).
Knight's Tour Checker
Is my wife right? Now with even more wrong husband
Fill a zeros matrix
Binary code (array)
Return fibonacci sequence do not use loop and condition version 2
Successive zeros (harder)
Return fibonacci sequence do not use loop and condition version 3
Put m balls into n boxes
Make an anonymous function that has variable output
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