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.
10, 17, ['D', '1523', 'x', '9077', 'U', 'H', 'H', '201', '8731', 'i', '4971', 'T', '8939', 'y', 'S', 'B', '5661']