Linear hyper notation (LHN) is the 3rd part of Hyper Notation.

Rules

An expression is of the form H<n,A>, where n is the base and A is an array.

1. If there is no array, H<n> = n^n
2. If the array's first entry is 1, delete it.
3. If the array is a sequence array, decrease it by one, then nest the whole expression into the base n times.
4. If the array is a limit array, change the array into the nth member of it's FS.

Arrays

Now, what is an array? An array is a string of positive integers separated by commas. For example, 4,5,6,7 is an array.

An array is always a limit array, unless it's leftmost entry is bigger than 1, then it's a sequence array.

Every limit array has a FS, which is an infinite set of arrays. We can determine the FS of a limit array by decreasing the leftmost non-1 entry (call this entry X) by 1, then this is the first member of the FS, and to get from one member of the FS to the next, increase the entry at the left of X by 1.

Oh, and one more thing: decreasing an array by 1 is the same as decreasing the leftmost entry of that array by one.