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: 11, 16, ['3847', '4705', '7023', '7353', '9569', '7437', 'G', '7437', 'O', '8789', 'k', 'r', '8083', '7213', '4027', '595', 'P', 'n', '1377', '3271', '6443', '3251', 'K', 'K']
Example Output: 19918

Example Input: 1, 1, ['2821', '3823', '9741', 'k', 'X', '2457']
Example Output: 2821

Example Input: 16, 16, ['1461', 'H', '6747', '783', 'y', 'O', '8399', '4755', '6655', '5579', 'M', 'o', 'f', 'Z', 't', 'I']
Example Output:
0