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).
Maximum running product for a string of numbers
Find the "ordinary" or Euclidean distance between A and Z
Back to basics 8 - Matrix Diagonals
Compute a dot product of two vectors x and y
Determine the number of odd integers in a vector
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Big Integer Sqrt
Successive zeros (harder)
Seperate array to small section according to its index position
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