I am a math dork because I think
∑ n ≥ 2 n ( n − 1 ) a n x n − 2 + ∑ n ≥ 1 n a n x n + ∑ n ≥ 0 a n x n {\displaystyle \sum _{n\geq 2}n(n-1)a_{n}x^{n-2}+\sum _{n\geq 1}na_{n}x^{n}+\sum _{n\geq 0}a_{n}x^{n}}
is interesting. I explore my interest in these things at New College of Florida with smarter people than I.