What is the next number in the sequence 1 2 4 8 16?

The answer is 30, the number of positive integers that are factors of n!

Or is it 31, the number of regions of 4-space divided by n hyperplanes?

Or is it 32, the next number printed by:

for(int i=0;;i*=2)cout<<i;

You could write a program to print any next number you wanted. But both the
code and the English language description would be longer. Occam's Razor
and Solomonoff induction says the answer is 32.

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Artificial General Intelligence List: AGI
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