%I #9 Jul 13 2020 06:56:05

%S 1,2,5,14,31,111,257,624

%N Nonisomorphic n-element posets whose order polynomial factors into linear factors over the rationals.

%H Sam Hopkins, <a href="https://arxiv.org/abs/2006.01568">Order polynomial product formulas and poset dynamics</a>, arXiv 2006.01568 [math.CO], 2020.

%H MathOverflow, <a href="https://mathoverflow.net/questions/337303">Unified framework for posets with order polynomial product formulas</a>, 2019.

%e For n <= 3 all posets are counted.

%K nonn,more

%O 1,2

%A _Richard Stanley_, Jul 12 2020