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.

Example Input: 14, 15, ['B', 'i', 'F', 'F', '7361', 'U', '6625', 'x', '7875', 'm', '5637', '9533', 'y', 'e', '5049', '3809', '1', '8269', '435', '2363', '1679', 'e', '8775', 'A', 'l', '161']
Example Output: 5049

Example Input: 11, 14, ['7277', '3335', 'z', 'R', 's', '8267', 'q', '2743', 'w', '4003', 'G', 'O', 'Y', '4063', 'q', '7001', '7381', 'D', '6247', '7211', 'I', '2277', '7543', 'Y', '8243', '3127', 'V', '8709']
Example Output: 4063

Example Input: 5, 6, ['J', '471', '6379', '5423', 'K', 'Y', 'n', 'G']
Example Output:
0