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a(n) = Bell(n) + n - 2 (cf. A000110).
0

%I #11 Dec 08 2020 02:26:40

%S 0,2,6,17,55,207,882,4146,21154,115983,678579,4213607,27644448,

%T 190899334,1382958558,10480142161,82864869819,682076806175,

%U 5832742205074,51724158235390,474869816156770,4506715738447343,44152005855084367,445958869294805311,4638590332229999376

%N a(n) = Bell(n) + n - 2 (cf. A000110).

%D Colin Defant, Highly sorted permutations and Bell numbers, ECA 1:1 (2021) Article S2R6.

%H Colin Defant, <a href="https://arxiv.org/abs/2012.03869">Highly Sorted Permutations and Bell Numbers</a>, arXiv:2012.03869 [math.CO], 2020.

%F E.g.f.: exp(exp(x) - 1) + exp(x) * (x - 2) + 1. - _Ilya Gutkovskiy_, Dec 08 2020

%Y Cf. A000110.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Dec 07 2020