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).
Extract leading non-zero digit
Project Euler: Problem 3, Largest prime factor
"Low : High - Low : High - Turn around " -- Create a subindices vector
Create Volcano (or Atoll) martix. It is an extension of Bullseye matrix problem.
Determine if input is a Narcissistic number
Return fibonacci sequence do not use loop and condition version 2
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Find the right number make the equation
Return fibonacci sequence do not use loop and condition
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