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.
4, 6, ['2607', 'N', 'g', '6405', 'h', '5565', '7477', '8935', '1411', '2035', '1079', 'P', 'c', '1513', 'B', '5605', 'F', '4365']