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.
13, 19, ['6683', 'l', '5627', 'n', 'a', 'H', 'H', 'm', '7405', '445', 'V', '8363', 'b', '829', '5007', 'V', 'K', 'a', 'd', '587', 'e', 'V', '4399', '2557', '1577']