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: 1, 5, ['5033', '343', 'g', 'q', 'D', '4011', 'Z', '7925', '4297', '1155', '3967', 'e', 'E', 'c', 'I', 'B', '4985', 'B', 'i', '4707', '7205', 'M', 's', 'i', '5121', 'p']
Example Output: 5376

Example Input: 11, 13, ['L', 'v', 'o', '8089', 'u', '7105', '4451', '9785', 'e', 'p', 'p', '7077', '2815', 'v', 'p', '3593', 't', '6771', 'd', '2651']
Example Output: 9892

Example Input: 1, 2, ['4711', 'T', '9659', '1607', 'z', 'b', '1217', '5439', 'x', '3283', 'N', 'Y', 'R', 'W']
Example Output:
4711