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, 8, ['9163', 'W', 'n', 'K', '931', '5237', 'p', '4791', 'Y', '5627', '559', 'q', 'w', '9681', 'F', 'S', '8533']