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).
Count from 0 to N^M in base N.
vectorization in N
Remove from a 2-D matrix all the rows that contain at least one element less than or equal to 4
Determine if input is a Narcissistic number
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Find the right number make the equation
Determine if input is a perfect number
Compute the intersect point of line and plan
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