What do I mean, adding exponents when making one power series from another

Its a bit of a cheat.  I am saying the digit sequence we need is a composite, the upper order digit sequence has N bit and makes a power series from sequences of lower order, M.  The total number of digits becomes M+N, when normalized. Maximizing entropy is the same as minimizing the number of digits. The vacuum always adjusts to make maximum use of digits.