The first test case is wrong 0 and 21 are triangular numbers too (https://oeis.org/A000217), therefore:
[ 0, 6;
PS: And 0 does not make a pair with every number in this case.
What's wrong with the case x=20 in test suite? Why is y_correct=[ 10 10] ? I cannot pass it.
I don't know why your cheat isn't working, but look closely at what numbers your "for n=1:N" loop generates for that case.
Prime factor digits
Is my wife right? Now with even more wrong husband
Return area of square
Find the next Fibonacci number
Must be in the front row...
Longest run of consecutive numbers
Don't be mean. Be nice!
Crunch that matrix!
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