A341299 a(n) = least integer m such that at least half of all permutations of length m contain subsequences order isomorphic to every permutation of length n.

1, 3, 7, 13, 20, 28, 36, 48

Offset

1,2

Comments

Engen-Vatter say these values are "suggested", so presumably they have not yet been confirmed.

Links

Table of n, a(n) for n=1..8.

R. Arratia, On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern., Electron. J. Combin. 6, N1 (1999).

Michael Engen and Vincent Vatter, Containing all permutations, Amer. Math. Monthly, 128 (2021), 4-24; arXiv preprint, arXiv:1810.08252 [math.CO], 2018-2020.

Crossrefs

Sequence in context: A310266 A330407 A014283 * A294398 A330707 A033551

Adjacent sequences: A341296 A341297 A341298 * A341300 A341301 A341302

Keyword

nonn,more

Author

N. J. A. Sloane, Feb 13 2021

Status

approved