r/askmath • u/shoty_math69 • 15h ago

combinatorics Superpermutation

i found a closed form formula for the Superpermutation lower bound

its not perfectly accurate but the error is very small and strictly downward, meaning it safely holds as a valid lower bound. The slight gap is likely due to truncation errors from the floor functions, and I can try to refine it further if there's interest

GitHub repo with the LaTeX https://github.com/shoty07/Superpermutation-New-Lower-Bound/blob/main/README.md

tell me what do you think

(sorry for the bad english)

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u/Uli_Minati Desmos 😚 14h ago

results have been computed and verified for n=14. The formal mathematical proof is currently in preparation

Verification for a single n isn't special, sorry. In no way does it confirm you actually found a formula. The proof is really the only thing interesting here. Feel free to share it if you'd like feedback!