Leibniz claims to have found patterns in the square numbers and their binary representations. I cannot see any patterns at all. Here are the first ten squares and their binary representations, can anyone help point me in the correct direction?
1 = 1
4 = 100
9 = 1001
16 = 10000
25 = 11001
36 = 100100
49 = 110001
64 = 1000000
81 = 1010001
100 = 1100100