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: 2, 3, ['3335', '3451', 'f', 'M']
Example Output: 3451

Example Input: 15, 21, ['w', 'R', '9247', '5745', '5397', 'U', 'R', 'e', '8067', 'e', '2851', 'O', 'F', '4705', '5393', 'q', 'b', 'J', '211', '4319', 'o', 'h', 'Z', '4423', 'j', '2691', 'U']
Example Output: 9923

Example Input: 14, 29, ['1447', 'P', 'X', '5411', '4235', 'K', '6749', '171', '9349', 'K', 'n', '3477', '1183', '9933', '6259', '5793', '1719', 'V', 'C', '1983', '9947', 'I', 'c', '4425', 'Q', 'v', 'a', '3783', '9665', 'z']
Example Output:
53507