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Adhiero in reply to @jj72

I feel a bit stupid.

You and me both mate. (Edit- joke doesn’t quite work... apologies).

Either way I think you've vastly underestimated it:

Haha thanks for putting it politely, from what you’ve posted.

G1 is 3↑↑↑↑3 = 3↑↑↑(3↑↑↑3). That is 3↑↑(3↑↑(3↑↑(3... this series of numbers is 3↑↑↑3 long and a ↑↑ operation is basically a power tower. At the end of the sequence, you've got 3²⁷, then you form a power tower that is 3²⁷ long, then a power tower that is that long, and so on. You repeat this 3↑↑↑3 times...

Seems I missed a few power towers... The length of G1 sequence is 3↑↑↑3; is it correct that the length of each subsequent sequence would increase until G64 is reached?

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frankenbike in reply to @Adhiero

is it correct that the length of each subsequent sequence would increase until G64 is reached?

Unbelievably so. If we just add one arrow instead:

3↑↑↑↑↑3 = 3↑↑↑↑(3↑↑↑↑3). We did 3↑↑↑↑3 above - that was the series of 3↑↑↑3 power towers. Now we do the four-arrow operation 3↑↑↑↑3 times!

Instead of adding 1 arrow, to get G2 you increase the number of arrows to G1!

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