Find the odd one out in a sequence The Challenge:

Consider the function F(N) = 2^N + 1 where N is a positive integer less than 31. The sequence defined by this function is:

3, 5, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8193, 16385, 32769, 65537, 131073, 262145, 524289, 1048577, 2097153, 4194305, 8388609, 16777217, 33554433, 67108865, 134217729, 268435457, 536870913, 1073741825


An input will be generated as follows:


Take 5 contiguous integers from the above sequence.
Replace one of them with a different, positive integer (which may or may not be part of the above sequence). 
Optionally reorder the the 5 resulting numbers.


Given such a list of 5 integers, find the one that was swapped in and is therefore not part of the original 5 contiguous integers.

Example:


Original sublist: 5, 9, 17, 33, 65.
Replace one: 5, 7, 17, 33, 65.
Reorder: 33, 17, 5, 7, 65.


The expected output would be 7.

The 5 values in the input will always be distinct and there will always be a unique solution. (For instance, you won't have to deal with inputs like 3, 9, 17, 33, 129 where either 3 or 129 might have been swapped in.)

Test Cases:

5,9,17,33,829
o/p: 829

9,5,17,829,33
o/p: 829

33, 17, 5, 7, 65
o/p: 7

5,9,177,33,65
o/p: 177

65,129,259,513,1025
o/p: 259

129,259,513,1025,65
o/p: 259

63,129,257,513,1025
o/p: 63

65,129,257,513,4097
o/p: 4097

5, 9, 2, 17, 33
o/p: 2

536870913, 67108865, 1073741825, 1, 268435457
o/p: 1
Jelly, 15 bytes

⁹R2*‘ṡ5ḟ@€µEÐfQ


TryItOnline
All test cases also at TryItOnline

Returns a list containing one list containing the odd one out.

How?

⁹R2*‘ṡ5ḟ@€µEÐfQ - Main link, a (list)
⁹               - literal 256 (saving a byte over literal 30)
 R              - range, [1,2,3,...]
  2*            - 2 ** x, [2,4,8,...]
    ‘           - increment, [3,5,9,...]
     ṡ5         - all contiguous slices of length 5
       ḟ@€      - filter with reversed arguments for each
          µ     - monadic chain separation
            Ðf  - filter on condition:
           E    - all equal (those previously filtered lists with only one value)
              Q - unique (there can be two, but both will have the same odd-one-out)