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.

Example Input: 28, 29, ['9439', '4749', 'b', '5065', 'W', '3631', '4647', '2367', '7155', 'X', 'R', '7889', '3135', '5547', 'C', 'j', 'b', 'e', 'U', 'Y', '8799', 'z', 'h', '7759', '1913', '6103', 'y', 'M', 'B']
Example Output: 0

Example Input: 8, 25, ['y', 'r', '639', '6501', '7755', 'A', 'v', 't', '3209', '7899', 'Z', '6099', 'Q', 'L', 'T', 'b', 'P', '6913', 'J', '8855', '551', '4509', '143', '9331', 'c']
Example Output: 47509

Example Input: 2, 11, ['t', '5603', 'D', '245', '7297', 'R', '7959', 'S', '6429', '6659', '4585', 'j', 'm', 'e', 'F', 'N', 'y', 'S']
Example Output:
38777