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, ['7431', '8517', '5811', 'J', '1929', 'k', 'Y', '9677', 'b', '5769', '5923', 'M', '5695', '4503', '1383', '557', 'i', 'e']