What are the next three numbers in this sequence?
6, 28, 496, 8128, ... ?
Please explain how you determined these three numbers.

(In reply to

re(2): Real Answer by Hal9000)

I hate to admit it... but (unless I've missed a correct posting) *only Hal9000* has actually answered the question.

It's not a flawed question (no matter how many terms we specify, we can always create a function that runs through the points). And it's not a flawed answer (IMHO), except that it doesn't take into account the title.

Not only did Hal9000 specify "the next three numbers", but he provided understanding and an explanation for it.

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I hope someone will find ANOTHER solution that takes the title into account. (And Penny, I see that you've resigned yourself to doing no more than "plugging numbers into a formula". I'm sorry that you've given up so easily.)