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).
Determine if input is odd
Numbers with prime factors 2, 3 and 5.
02 - Vector Variables 4
Dimensions of a rectangle
Find the maximum two numbers of every column of a matrix
Seperate array to small section according to its index position
Big Integer Sqrt
Determine if input is a Narcissistic number
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