In the context of cellular automata in second picture, it looks as though the 5 cell might represent a different cell type such that other cellsscells recognize isit as a source even if they are separated diagonally. (as @david van brink has shown).
In the context of procedural-generation, it looks rather that the the 5 tile has different behavior from the rest, propagating to not only adjacent tiles but also diagonals while all the rest propagate to just adjacent tiles.
Simple cellular automata might have a simple set of rules where each cell follows a given global behavior but there's nothing that says you must implement your propagation calculations in such simple terms. This is why the idea of cellular automata might not be what you actually want to ask about but just procedural generation in general.
To answer your question, you could define a separate type of tile, say a source tile, which propagates more strongly than just a normal tile. Instead of propagating to just strictly adjacent tiles, it would also propagate to diagonals as well and the rest would carry to adjacent tiles like normal.