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

15, 25, 55, 57, 65, 68, 95, 105, 124, 126, 135, 145, 175, 182, 185, 193, 215, 225, 249, 255, 265, 295, 305, 318, 335, 345, 374, 375, 376, 385, 415, 425, 432, 455, 465, 495, 505, 535, 545, 568, 575, 585, 615, 624, 625, 626, 655, 665, 682, 695, 705, 735, 745

Offset: 1

Author

Marco Ripà, Jul 23 2022

Keywords

• nonn
• base

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.

Examples

			57 is a term since the constant convergence speed of 57 is 3 and (trivially) 57 has no trailing zeros.
		

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

Crossrefs

Cf. A317905, A337392, A337833, A321130, A321131.