Fibonacci number in an array

We have been given an array and our task is to check if the element of array is present in Fibonacci series or not. If yes, then print that element. 

Examples:

Input : 4, 2, 8, 5, 20, 1, 40, 13, 23
Output : 2 8 5 1 13
Here, Fibonacci series will be 0, 1, 1, 2, 
3, 5, 8, 13, 21, 34, 55. Numbers that are present 
in array are 2, 8, 5, 1, 13
For 2 -> 5 * 2 * 2 - 4 = 16
16 is a perfect square of 4

Input : 4, 7, 6, 25
Output : No Fibonacci number in this array

A number is said to be in Fibonacci series if either (5 * n * n - 4) or (5 * n * n + 4) is a perfect square. Please refer check if a given number is Fibonacci number for details. 

Implementation:

2 8 5 1 13