FAQ 2008 01 12

[tommy1729]

in

/ general discussion and questions / tetration FAQ / second post /

FAQ_20080112[1]

there are 3 things i like to comment on

1) nested exponentials

i have been playing with those too

for instance see

my " tommy zeta function " as i like to call it.

tommy zeta (z) = T [ 1 + 1/n^z ]

tommyzeta(1) =>

http://www.research.att.com/~njas/sequences/A102575

irrationality question usually follows ...

notice how it converges really fast.


2) the relationship between iterations of x exp(x) and exp(x) seems intresting , has this been discussed on this forum ?

3) in the paper 4.1.3 exponential forests , second question.

i believe a = eta.

i came up with the basic idea myself many many years ago.

thats a small miracle not ?

( i think not , math is huge , but also " universal " )


regards

tommy1729