08/13/2022, 06:51 PM
(This post was last modified: 08/13/2022, 06:56 PM by marcokrt.
Edit Reason: Adding LaTeX tags
)
Very interesting, thank you!
Recently, I posted another (and maybe easier) question on the same line that I would like to be answered: convergence value of this series.
I suspect that the constant above could be very close to \( e^{\frac{1}{e}} \), but I cannot find the exact value... it would be interesting since it compares (asymptotically) a unitary increment on hyper-2 to a unitary increment on hyper-4.
Recently, I posted another (and maybe easier) question on the same line that I would like to be answered: convergence value of this series.
I suspect that the constant above could be very close to \( e^{\frac{1}{e}} \), but I cannot find the exact value... it would be interesting since it compares (asymptotically) a unitary increment on hyper-2 to a unitary increment on hyper-4.
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).