In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
11, 18, ['6581', 'w', 'P', '4005', 'x', '6817', '6299', '7903', 'b', '5819', 'f', '1375', '8297', 'm', 'm', 'A', '5823', 't', 'G']