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, 20, ['N', '3757', '4835', '557', 'n', '3381', '3229', '9715', 'O', 'J', '5215', 'Q', '7867', 'W', '5159', '1571', '2911', '8907', 'J', 'b']
57104

9, 13, ['2813', 's', 'z', 'G', '5927', '4415', 'T', 'c', '7029', 'e', 'o', 'd', '5913', 'y']
12942

6, 9, ['8373', 'G', '9389', '8801', '5371', 'a', '4933', 'q', '7897', '6437']

12830