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.

3, 5, ['u', 'Y', '4165', '1421', '7617']
13203

1, 5, ['O', '4521', 'w', '6745', 'W', '7743', '4113', '7179', '9751', '2365', '9161', 'j', '1339', '6927']
11266

1, 4, ['8973', '6455', '6453', 'm', 'Q']

21881