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).
Distance walked 1D
Back to basics 15 - Benchmark
Getting the row and column location from a matrix
Oh Zero Zero Zero!!!
Side of a rhombus
Find the right number make the equation
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Seperate array to small section according to its index position
Return fibonacci sequence do not use loop and condition version 2
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