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).
Back to basics 3 - Temp Directory
Piecewise linear interpolation
Ripping numbers apart!
Compute the intersect point of line and plan
Put m balls into n boxes
Determine if input is a Narcissistic number
Big Integer Sqrt
Determine if input is a perfect number
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