Definition: 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.
Input: 4, 10, ['8125', '4085', 'H', '4537', 'l', 'y', '4289', '1269', '3361', 'H', 'U', '4363', 'E', 'r', 'e', 'L', '4955', '5789', '3315']

13456