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
Check if sorted
Omit columns averages from a matrix
Find the stride of the longest skip sequence
Make a run-length companion vector
Find the maximum two numbers of every column of a matrix
Make an anonymous function that has variable output
Successive zeros (harder)
Generate a vector like 1,2,2,3,3,3,4,4,4,4
Determine if input is a perfect number
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