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.
13, 18, ['8541', 'e', '2785', '3705', '6901', '4417', 'H', 'w', '1611', 'C', '4243', 'l', 'o', 'N', '3445', 'B', '6257', '1769']