A very special set of tetration bases
#2
P.S. The paper is available online at On the relation between perfect powers and tetration frozen digits.
Let \(G(n)\) be a generic reverse-concatenated sequence. If \(G(1) \notin \{2, 3, 7\}\), then \(^{G(n)}G(n) \pmod {10^d}≡^{G({n+1})}G({n+1}) \pmod {10^d}\), \(\forall n \in \mathbb{N}-\{0\}\)
("La strana coda della serie n^n^...^n", p. 60).
Reply


Messages In This Thread
RE: A very special set of tetration bases - by marcokrt - 12/11/2024, 08:57 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Tetration with complex bases TetrationSheep 0 746 11/13/2025, 10:33 AM
Last Post: TetrationSheep
  [NT][SPECIAL][UFO] f(x) + f(x/2) + f(x/3) + ... = x tommy1729 0 4,647 06/29/2023, 11:24 PM
Last Post: tommy1729
  [special] binary partition zeta function tommy1729 1 3,783 02/27/2023, 01:23 PM
Last Post: tommy1729
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 2,810 07/10/2022, 06:22 AM
Last Post: Catullus
  Tetration extension for bases between 1 and eta dantheman163 23 65,438 07/05/2022, 04:10 PM
Last Post: Leo.W
  A special equation : f^[t](x) = f(t x)/t tommy1729 6 8,519 06/17/2022, 12:16 PM
Last Post: tommy1729
  [MSE] Help on a special kind of functional equation. MphLee 4 8,296 06/14/2021, 09:52 PM
Last Post: JmsNxn
  Introducing new special function : Lambert_t(z,r) tommy1729 2 12,438 01/10/2016, 06:14 PM
Last Post: tommy1729
  Why bases 0<a<1 don't get love on the forum? marraco 20 60,030 04/19/2015, 05:53 PM
Last Post: Gottfried
  Bundle equations for bases > 2 tommy1729 0 6,164 04/18/2015, 12:24 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)