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, 18, ['5871', '397', '5257', '617', '8633', 'Z', 'b', 'J', 'K', '8683', 'W', 'D', 'B', '7531', 'z', '2395', '399', '2783']