Necessary integers, amicable numbers

When a positive integer is substituted for n in this expression, the result is always an integer. The number in the right parenthesis represents the square of the nth odd number, while the number in the left parenthesis represents the square of a natural number; it is the smallest number such that, when the square root is taken and the number in the right parenthesis is added, the result is an integer.When using this in conjunction with Tri-Friend Numbers, please ensure the number substituted for n matches. Since there are also Single-Friend Numbers, users should ensure those match as well.