The series starts with

36 => 3+6 = 9

36 + 9^2 = 117. => 2nd term

Next

Taking just the last digit of the 2nd term 7 and squaring it and adding it to the same

117 + 7^2 = 166 => 3rd term

Again for the 4th term 1+6+6 = 13

=> 166 + 13^2 = 335 => 4th term

And for 5th term taking the last digit 5

335 + 5^2 = 360.

Taking this logic forward for the required term

441 + 1^2 = **442** .