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, 4, ['b', '4601', '39', 'A', '3943', '6165', 'H', '7727', '2811', '3071', '6087', '1111', '783', 'c', '2253']