Salvatore Cosentino

/Fibonacci sequence

Iterations of \[ f_{n+1}=f_n+f_{n-1} \] with initial conditions \( f_0=1 \) and \( f_1 = 1 \) .

/Fibonacci quotients

Fibonacci quotients, defined as \( q_n := {f_n }/{ f_{n-1}} \).
Iterations of \[ q_{n+1} = 1+ {1}/{q_n} \] with initial condition \( q_1 = 1\) .