Formula for sequence obtained when finding the possibility of an element existing under a search window in a given matrix

[Sindhu Anand]

Suppose in a given matrix 3x3, and for a given search window 2x2, the possibility of finding an element at the index 2x2, such that, this element is always under selection is, 4.

So, if we write down all the possibilities, for all elements, and for all possible search windows, on 3x3 matrix.
Attached images.

Is there a way to put the sequences obtained into formula.