This is my first question.
I am wondering if there is a formula to find the number of non-congruent figures of area n that are made up of 1 by 1 non-overlapping squares, in which any square must share a common side with a square touching it?
For example, the number of these figures of area 1 is 1
The number of these figures of area 2 is 1
The number of these figures of area 3 is 2
Can this be generalized for a formula?