Nested nth roots

[Kelvin Voskuijl]

Hello, I was recently thinking about nested roots of 1,2,3,4,5,6,7,8,9... that converge to an intger and I found this link https://www.reddit.com/r/math/comments/69pw0u/comment/dhduuhg/?utm_source=share&utm_medium=web3x&utm_name=web3xcss&utm_term=1&utm_content=share_button. I wonder if such constants would be worthy to be on OEIS.

Kelvin Voskuijl

[Sean A. Irvine]

Hi Kelvin,

Yes they are valid sequences, and we we already have some:

https://oeis.org/A105546

That value seems to differ from what is in Reddit, although I did not look closely.

Sean.

On Fri, 22 Aug 2025 at 00:32, Kelvin Voskuijl <kelvin....@gmail.com> wrote:

Hello, I was recently thinking about nested roots of 1,2,3,4,5,6,7,8,9... that converge to an intger and I found this link https://www.reddit.com/r/math/comments/69pw0u/comment/dhduuhg/?utm_source=share&utm_medium=web3x&utm_name=web3xcss&utm_term=1&utm_content=share_button. I wonder if such constants would be worthy to be on OEIS.

Kelvin Voskuijl

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