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.
1, 15, ['6619', '4843', 'o', '5837', 'b', 'k', '3845', 'P', 'X', '6019', '3457', '8873', '1337', 'V', '1411', '5477']