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).
Least common multiple of many numbers
Swap the input arguments
Make a simplified barcode
Multiply a column by a row
Split a string into chunks of specified length
Successive zeros (harder)
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Compute the intersect point of line and plan
Seperate array to small section according to its index position
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