What are the rules of sequence 4, 16, 37, 58, 89145 So this sequence will be a cyclic sequence, right?

What are the rules of sequence 4, 16, 37, 58, 89145 So this sequence will be a cyclic sequence, right?

From the second number
Each number is the sum of squares of each number of the previous number ~!
For example: 16 split 1 and 6
The square of 1 plus the square of 6 is the number after 16 ~!
And so on ~!