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: Consider Input: 11, 14, ['H', '4643', 'k', '9583', 'K', '3497', 'Q', '8111', '1837', 'Z', '6885', 'L', '1759', '7777', '3137']

Output: 16421


Input: Consider Input: 11, 16, ['8617', '6133', '5505', '6601', 'y', 'a', '1019', 'r', 'P', 'd', 'P', '9647', '9831', 'I', 'z', 'k', '749', '8975']

Output: 19478


Input: Consider Input: 11, 15, ['a', '7817', 's', '6337', 'B', '3623', '5705', 'M', 'i', 'D', '1771', 'u', 'O', '2749', 'J', '2591']


Output: 4520