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%I #12 Aug 06 2019 02:39:25
%S 1,0,1,1,0,1,0,9,0,1,9,0,30,0,1,0,225,0,70,0,1,225,0,1575,0,135,0,1,0,
%T 11025,0,6615,0,231,0,1,11025,0,132300,0,20790,0,364,0,1,0,893025,0,
%U 873180,0,54054,0,540,0,1,893025,0,16372125,0,4054050,0,122850,0,765,0,1
%N Triangle read by rows: number of idempotents of rank k in Brauer monoid B_n.
%H I. Dolinka, J. East, A. Evangelou, D. FitzGerald, N. Ham, et al., <a href="http://arxiv.org/abs/1408.2021">Enumeration of idempotents in diagram semigroups and algebras</a>, arXiv preprint arXiv:1408.2021 [math.GR], 2014.
%e Triangle begins:
%e 1
%e 0, 1
%e 1, 0, 1
%e 0, 9, 0, 1
%e 9, 0, 30, 0, 1
%e 0, 225, 0, 70, 0, 1
%e 225, 0, 1575, 0, 135, 0, 1
%e 0, 11025, 0, 6615, 0, 231, 0, 1
%e 11025, 0, 132300, 0, 20790, 0, 364, 0, 1
%e 0, 893025, 0, 873180, 0, 54054, 0, 540, 0, 1
%e 893025, 0, 16372125, 0, 4054050, 0, 122850, 0, 765, 0, 1
%e ...
%K nonn,tabl
%O 0,8
%A _N. J. A. Sloane_, Mar 14 2015
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