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%I #10 Sep 27 2016 12:14:38
%S 1,1,2,2,3,3,4,6,6,4,10,19,12,11,4,26,50,55,20,16,4,76,171,150,125,30,
%T 22,4,232,532,651,350,245,42,29,4,764,1961,2128,1876,700,434,56,37,4,
%U 2620,6876,9297,6384,4536,1260,714,72,46,4,9496,27145,34380,32565,15960,9702,2100,1110,90,56,4
%N Triangle read by rows: Ranks of ideals in Partial Brauer Monoid PB_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 3.
%e Triangle begins:
%e 1,
%e 1,2,
%e 2,3,3,
%e 4,6,6,4,
%e 10,19,12,11,4,
%e 26,50,55,20,16,4,
%e 76,171,150,125,30,22,4,
%e 232,532,651,350,245,42,29,4,
%e 764,1961,2128,1876,700,434,56,37,4,
%e 2620,6876,9297,6384,4536,1260,714,72,46,4,
%e 9496,27145,34380,32565,15960,9702,2100,1110,90,56,4,
%e ...
%K nonn,tabl
%O 0,3
%A _N. J. A. Sloane_, Sep 17 2016