This was a fun problem, but I think lookup table solutions are possible given the way the way the test suite is configured. Maybe you could add a string parser to see if the test suite correct solutions are included in the answer code?
Back to basics 23 - Triangular matrix
Number of 1s in a binary string
Getting the indices from a vector
Create a vector whose elements depend on the previous element
Doubling elements in a vector
Return the sequence element III
Sorting integers by their digits (Level 1)
Identify the sequence
Factorizing a number into a given number of factors
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