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, 20, ['4221', '2381', 'i', 'm', 'c', 'F', '9703', '3529', 'a', '83', 'D', '1023', 'I', 'c', 'W', '7163', '341', 'w', '7855', '2317', '8989', '3629', 'b']
Example Output: 17676

Example Input: 14, 14, ['a', 'i', '5431', 'U', '9109', 'm', 'H', '7643', '127', 'a', 'S', '4285', '5625', '5479', '6409', 'U', 'n', 'R']
Example Output: 5479

Example Input: 2, 2, ['2979', 'i']
Example Output:
0