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.
1, 15, ['s', '1023', '3913', 'b', 'c', 'W', '4465', 'g', '4867', '1033', '6171', 'E', '5197', 'R', '7603', '4007', '7543', 'B']