OFFSET
1,1
COMMENTS
The convergence speed of any integer greater than 1 and not divisible by 10 is constant if and only if we are considering an integer tetration and its constant convergence speed is greater than 2 if and only if the tetration base is of the form m + k*1000, for k >= 0, where m is a term.
LINKS
Marco Ripà, Table of n, a(n) for n = 1..10000
Marco Ripà, On the constant congruence speed of tetration, Notes on Number Theory and Discrete Mathematics, Volume 26, 2020, Number 3, pp. 245—260.
Marco Ripà, The congruence speed formula, Notes on Number Theory and Discrete Mathematics, 2021, 27(4), 43-61.
Marco Ripà and Luca Onnis, Number of stable digits of any integer tetration, Notes on Number Theory and Discrete Mathematics, 2022, 28(3), 441-457.
Wikipedia, Tetration
EXAMPLE
57 is a term since the constant convergence speed of 57 is 3 and (trivially) 57 has no trailing zeros.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Marco Ripà, Jul 23 2022
STATUS
approved