Basic Examples

BinaryIteratedLog
is the inverse of binary tetration (repeated exponentiation):
In[]:=
[◼]
BinaryIteratedLog
[2^2^2^2]
Out[]=
4
A slightly larger input shows a step-like jump in the value of BinaryIteratedLog:
In[]:=
[◼]
BinaryIteratedLog
[2^2^2^2+1]
Out[]=
5
Make a table of the binary iterated logarithm of the first 30 integers:
In[]:=
Table
[◼]
BinaryIteratedLog
[i],{i,0,30}
Out[]=
{0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4}