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: 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: 12, 23, ['A', 'i', '4191', 'B', '2297', '3959', '1125', 'c', '739', '7887', 'p', '8173', '5301', '1969', '9737', '7011', '9845', 'r', '2977', 'z', 'Q', 'N', '3847', 's', 'D', '3391', 'T']
Example Output: 48860

Example Input: 1, 16, ['c', 'r', 's', '2681', 'S', '1827', 'O', 'f', '3671', 'R', '2621', 'H', 'L', '6737', 'l', 'G', 'V', '1889', 'c', '4933', '6297', '5951']
Example Output:
17537