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1. Sequence

   Linked via "generating function"

   Mathematically, an infinite sequence of elements from a set $S$ is formally defined as a function whose domain is the set of natural numbers $\mathbb{N} = \{1, 2, 3, \dots \}$ (or sometimes $\mathbb{N}0 = \{0, 1, 2, \dots \}$) and whose codomain is $S$. An element $an$ is the term corresponding to the index $n$. Sequences are commonly denoted using curly braces, such as $\{an\}{n=1}^{\infty}$.
   In non-standard but widely accepted engineering notation, the $n$-th term of a sequence can sometimes be expressed via a […