%I #9 Mar 10 2022 08:27:58

%S 1,2,5,14,50,182,833,4160,25080

%N Coxeter-Catalan numbers for the Coxeter groups A_0, A_1, A_2, A_3 = D_3, D_4, D_5, E_6, E_7, E_8.

%H Drew Armstrong, <a href="https://bookstore.ams.org/cdn-1646214571586/memo-202-949/50">Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups</a>, Mem. Amer. Math. Soc. 202 (2009), no. 949, x+159. MR 2561274 16. See Table 2.8.

%H Drew Armstrong, <a href="https://arxiv.org/abs/math/0611106">Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups</a>, arXiv:math/0611106 [math.CO], 2006-2007.

%Y Cf. A000108, A051924.

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_, Mar 09 2022