Predict the next three members of the sequence below and explain what the relationship is.
2, 10, 44, 1012, 248,
This number sequence does not appear in the Online Encyclopedia of Integer Sequences
The series above is closely related to the following series of numbers
2, 3, 5, 22, 17, 250, 134, 262
So if you can work out the mathematical rule for calculating the members of this series then you will be very close to the mathematical rule for the sequence above.
I thought this was an almost perfect number sequence...
I don't think another hint will be required, but I will add another if necessary