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, 3, ['E', '6187', '5861', '3697', '2749', '1171', '6085', 'c', '2291', '2385', '7335', 'B']
12048

1, 7, ['Y', 'n', '8993', 'X', '7211', 's', 't', 'R', 'm', 'L', '9559', 'K', 'j', '791']
16204

2, 3, ['713', '247', '313']

560