%I #9 Sep 27 2016 12:15:04

%S 1,1,2,2,3,4,4,6,5,6,9,15,11,7,8,21,36,32,17,9,10,51,91,83,56,24,11,

%T 12,127,232,226,157,88,32,13,14,323,603,608,459,266,129,41,15,16,835,

%U 1585,1655,1305,832,419,180,51,17,18,2188,4213,4517,3726,2499,1397,626,242,62,19,20

%N Triangle read by rows: Ranks of ideals in the Motzkin Monoid M_n.

%H I Dolinka, J East, RD Gray, <a href="http://arxiv.org/abs/1512.02279">Motzkin monoids and partial Brauer monoids</a>, arXiv preprint arXiv:1512.02279, 2015. See Table 4.

%e Triangle begins:

%e 1,

%e 1,2,

%e 2,3,4,

%e 4,6,5,6,

%e 9,15,11,7,8,

%e 21,36,32,17,9,10,

%e 51,91,83,56,24,11,12,

%e 127,232,226,157,88,32,13,14,

%e 323,603,608,459,266,129,41,15,16,

%e 835,1585,1655,1305,832,419,180,51,17,18,

%e 2188,4213,4517,3726,2499,1397,626,242,62,19,20,

%e ...

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, Sep 17 2016