cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A354959 Tetration bases with a constant convergence speed >= 3.

This page as a plain text file.
%I A354959 #46 Sep 07 2022 10:27:57
%S A354959 15,25,55,57,65,68,95,105,124,126,135,145,175,182,185,193,215,225,249,
%T A354959 255,265,295,305,318,335,345,374,375,376,385,415,425,432,455,465,495,
%U A354959 505,535,545,568,575,585,615,624,625,626,655,665,682,695,705,735,745
%N A354959 Tetration bases with a constant convergence speed >= 3.
%C A354959 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.
%H A354959 Marco Ripà, <a href="/A354959/b354959.txt">Table of n, a(n) for n = 1..10000</a>
%H A354959 Marco Ripà, <a href="https://doi.org/10.7546/nntdm.2020.26.3.245-260">On the constant congruence speed of tetration</a>, Notes on Number Theory and Discrete Mathematics, Volume 26, 2020, Number 3, pp. 245—260.
%H A354959 Marco Ripà, <a href="https://doi.org/10.7546/nntdm.2021.27.4.43-61">The congruence speed formula</a>, Notes on Number Theory and Discrete Mathematics, 2021, 27(4), 43-61.
%H A354959 Marco Ripà and Luca Onnis, <a href="https://doi.org/10.7546/nntdm.2022.28.3.441-457">Number of stable digits of any integer tetration</a>, Notes on Number Theory and Discrete Mathematics, 2022, 28(3), 441-457.
%H A354959 Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetration">Tetration</a>
%e A354959 57 is a term since the constant convergence speed of 57 is 3 and (trivially) 57 has no trailing zeros.
%Y A354959 Cf. A317905, A337392, A337833, A321130, A321131.
%K A354959 nonn,base
%O A354959 1,1
%A A354959 _Marco Ripà_, Jul 23 2022