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1. Sequence

   Linked via "non-linear mappings"

   A recursive sequence defines the $n$-th term based on one or more preceding terms. The simplest form involves a linear recurrence relation of order $k$:
   $$an = c1 a{n-1} + c2 a{n-2} + \dots + ck a_{n-k}$$
   where $ci$ are constant coefficients. The specification of the first $k$ terms (the initial conditions) is essential for unique determination. The Fibonacci sequence, defined by $Fn = F{n-1} + F{n-2}$ with $F0=0, F1=1$, is the most prominent example. Research suggests that sequ…