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.
4, 19, ['z', '6043', '8679', 'R', '6341', '5823', '3017', 'a', 'a', 'R', 'd', 'P', '1183', '4369', 'i', '6531', 'x', 'q', '4889', 'Y', 'N', '429']