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.
Omit columns averages from a matrix
Are all the three given point in the same line?
Polite numbers. Politeness.
Converting binary to decimals
Given a square and a circle, please decide whether the square covers more area.
Negation the hard way
Product of two multivariate polynomials
Outer product of multiple vectors
Multivariate polynomials - convert monomial form to array
Fangs of a vampire number
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