Wikipedia:Reference desk/Archives/Mathematics/2017 May 31

= May 31 =

Terminology for a given base raised to a special kind of exponent?
I'm thinking of numbers expressed in a form such as B^(B^(B^(B^(B^X)))), where the chain of 'B' can be of any arbitrary length (eg: 2^(2^(2^3)) = 2^256). Is there a certain term for that sort of representation? Also, interesting links to any known properties would be appreciated as well. Earl of Arundel (talk) 08:24, 31 May 2017 (UTC)
 * Ah, found this article on symmetric level index arithmetic, which is basically a special case of this (but where B is always equal to Euler's number). Should be a good starting point... Earl of Arundel (talk) 08:35, 31 May 2017 (UTC)
 * Iterated exponentials (see chart). Loraof (talk) 14:51, 31 May 2017 (UTC)