Find all positive integers $n$ such that number $n^4-4n^3+22n^2-36n+18$ is perfect square of positive integer
Problem
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018
Tags: Integer, Perfect Squares, number theory
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018
Tags: Integer, Perfect Squares, number theory
Find all positive integers $n$ such that number $n^4-4n^3+22n^2-36n+18$ is perfect square of positive integer