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.
5, 12, ['4927', '5601', '6989', '7933', 'n', 'Y', '4085', '815', '3135', 't', '9943', '4817', '9319', '4039']