A Not-so-easy Task

Milo is assigned a not-so-easy task of creating an array of $A$ of size $N$ where only the first element $A_0$ of the array is known. Milo knows the following constraints for calculating the other unknown elements of the array ($A_1$ to $A_{N-1}$): - $A_i \geq 2*A_{i-1} + A_{i-2}, \, A_i\ \%\ 4\ =\ 0$ if $i$ is even - $A_i \geq 3*A_{i-1}, \, A_i\ \%\ 5\ =\ 0$ if $i$ is odd - The difference be