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: 3, 7, ['1811', 'Z', 'C', 'x', '6171', 'W', 'N', 'L', 'h', '4497']
Example Output: 6171

Example Input: 5, 15, ['r', '6933', '8849', '3479', 'H', '4269', '7469', '9359', 'K', '3371', 'A', '5371', 'z', 'K', '6147', 'i', 'Q', '9055', 'b', 'g', 'x', '5357', 'L', '2797', '7683', 'L', '7127', 'M']
Example Output: 35986

Example Input: 2, 20, ['8059', 't', '2321', '1007', 'd', 'W', 'u', 'I', 'V', '7713', '7121', '3831', 'b', '6617', 'b', '9309', '3597', 'l', '1775', '2579', '8107', 'P', '2791', 'W', 'd', '3645', '133']
Example Output:
45870