Hi all,
This is my first post on this wonderful place and I have to confess I'm feeling like a kid in the playground.
I've just published a quite simple book (in Italian) about integer tetration. It's mainly focused on its ending digits (perfect p-adic convergence, regular displacements of the most important constrained digits, and so on), plus some related topics.
It's possible to read the first (introductive) chapter online: http://www.uni-service.it/images/stories...review.pdf
The required skill level is quite low (high school proficiency), but I hope it could be a nice amusement for recreational math lovers.
All the best,
Marco
This is my first post on this wonderful place and I have to confess I'm feeling like a kid in the playground.
I've just published a quite simple book (in Italian) about integer tetration. It's mainly focused on its ending digits (perfect p-adic convergence, regular displacements of the most important constrained digits, and so on), plus some related topics.
It's possible to read the first (introductive) chapter online: http://www.uni-service.it/images/stories...review.pdf
The required skill level is quite low (high school proficiency), but I hope it could be a nice amusement for recreational math lovers.
All the best,
Marco
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).
("La strana coda della serie n^n^...^n", p. 60).
