MHDN

MachineGun's Hyper Diagonalizing Notation (MHDN) is a basic diagonalizing function, meaning that it has a growth rate of n+4 (yes quite slow)

The basic table
A = 1,2,3,4,.....    3,4,5,6,.....     5,6,7,8,.....     7,8,9,10,.... MHDN(A,n) = the n-th element from diagonalizing in A

MHDN(A,3) = 7

MHDN(A,x) = x+4

However, you can easily attribute other functions to a table, thus being able to generate a number of any size using even the smallest of numbers.

The modified table
By "attributing other functions", it means to replace the basic elements with numbers defined in different functions. For example, replacing all elements with numbers in the Graham Function. B = g1,g2,g3,g4,.....      g3,g4,g5,g6,.....       g5,g6,g7,g8,.....       g7,g8,g9,g10,.... MHDN(B,3) = g7

It seems like if the attributed function is $$f(n)$$, then MHDN(A,n) =$$f(n+4)$$