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.

2, 8, ['4517', 'w', '9145', '5477', '7679', 'j', '8603', 'z']
30904

2, 11, ['N', '3963', 'O', 'T', '8551', '3099', '577', '9273', '9849', '2593', '4693', 'A', 'O', '7381', 'o', 'P', 'g', 'H', '3927']
42598

1, 2, ['4763', 'i', '3481', 'v', 'u']

4763