OFFSET
0,3
COMMENTS
The function is defined by:
e_0(x,y) = x + y;
e_1(x) = x^2 + 2;
e_n(0) = 2;
e_{n+1}(x+1) = e_n( e_{n+1}(x) );
Here we ignore the variable y so in this case:
e_0(x) = x;
The next two terms are T(4, 1) = T(3, 2) = e_3(2) = (e_1)^38(x) which is a number between 2^(2^38) and 2^(2^39), and is too large to display.
LINKS
FORMULA
e_{n+1}(x) = (e_n)^x(2).
EXAMPLE
CROSSREFS
KEYWORD
AUTHOR
Natan Arie Consigli, Feb 19 2021
STATUS
approved