Nice Sequences

I like sequences that grow fast. Like this: 0, 1!, 2!!, 3!!!, 4!!!!, ...
That's 0, 1, 2, 720!, ... Really jump off the board.

But did you know that there are sequences that grow faster than any computable sequence? They are, of course, incomputable.

6 comments:

  1. I'm fond of 1, 2^2, 3^3^3, ...

    How about f(n) = (2 / (n-2))^2, for n=0, 1, 2...

    f(n) = 1, 4, Infinity...

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  2. Incomputable
    That's what you are
    Incomputable
    With pointers near or far
    Like some code from above that clings to me
    Making my CPU just run on infinitely
    Never before has someone been more
    Incomputable

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  3. Also, 3!!! is not 720. That's 3!!. 3!!! is much larger (1747 digits.)

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    Replies
    1. Andy, you're not paying attention: Wabulon Did not say that 3!!! = 720. He said it equals 720!

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