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: 12, 17, ['1', 'A', '557', 'M', '9017', '8365', '4251', 'v', '5187', '6251', '3231', 'H', 's', '8337', 'O', '2775', 'v', '863', '3825', '77', '6769', 'L', '8257', 'Y', '5979', '6279', 'L', '9563']

11112