Are you sure about the first rule? It doesn't seem necessary according to https://oeis.org/A014575.
The problem is really fun.
Since I created the problem series and want the Functions I badge, I thought I'd provide the solution that incorporates vampire_factor and are_fangs. Not a great score, but readable!
Sorry, I mean the Magic Numbers badge.
How to find the position of an element in a vector without using the find function
Specific Element Count
Doubling elements in a vector
Reverse a matrix
Sum of the Matrix Elements
Negation the hard way
Multivariate polynomials - sort monomials
Find all vampire fangs
Multivariate polynomials - overload multiplication
Multivariate polynomials - emulate symbolic form
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