I want to generate every possible binary sequence of numbers, where each sequence in the list is limited to a specific number of 1's and there is padding of zeros to make every list the same length. 

For example, if the sequence is supposed to be 4 numbers long, and have 2 ones, all sequences would be:

`1100 1010 1001 0110 0101 0011`

and the zeros at the front of the number are preserved.