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.
19, 20, ['r', '8803', '1085', 'z', 'r', 'h', '9693', 'I', '7119', '4863', '1619', 'b', '2565', '351', 'n', 'a', 'O', '617', '1295', 'Y', 'L', 'N', '6017']