You understand, I imagine, that there is NO one answer to a question like this. A sequence can start in any way you like, then add on whatever numbers you want. What you are really asking is "is there a simple rule that will give these numbers". I certainly don't see one! Is there more information about this sequence that might help?
I do understand that, thought that it is logical that i was wondering for the rule that can be apply for the sequence
And i don't really know what is the rule that can be apply for that sequence ... i can see the rule for the first 4 numbers, but that kind of progression with last two digits is unknown to me, so i asked for help
There are sequences which grow extremely quick. For one of the 'smaller' ones you have the tower function
ai,1 = i
ai,j = \(\displaystyle i^{a_i,_{j-1}}\)
The tower is
tj = aj,j
so we have for tj
1, 22=4, \(\displaystyle 3^{3^3}=7625597484987\), ...
and that 4th term - well let's just say that it is large.
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