From: jbeeson@invalid.net.invalid   
      
   15 September 2025   
      
   While counting my calf raises tonight, it struck me that two   
   to the third was followed immediately by three to the   
   second.   
      
   I wonder what pairs like this are called?   
      
   I've long been aware that sixteen is its own whatsit:  it's   
   both four to the second and two to the fourth.  Sixteen must   
   be the only such number, aside from numbers are a number   
   raised to itself.   
      
   I'll bet that those numbers also have a name.  The series   
   1^1, 2^2, . . . has a rising rate that puts factorials to   
   shame.   
      
   --   
   Joy Beeson   
   joy beeson at centurylink dot net   
   http://wlweather.net/PAGEJOY/   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)