A256038 - OEIS

%I #12 Aug 06 2019 02:39:34

%S 1,0,1,0,0,1,0,2,0,1,0,0,4,0,1,0,8,0,6,0,1,0,0,24,0,8,0,1,0,48,0,48,0,

%T 10,0,1,0,0,192,0,80,0,12,0,1,0,384,0,480,0,120,0,14,0,1,0,0,1920,0,

%U 168,0,195,0,16,0,1

%N Triangle read by rows: number of R-class idempotent basis elements 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 0, 0, 1,

%e 0, 2, 0, 1,

%e 0, 0, 4, 0, 1,

%e 0, 8, 0, 6, 0, 1,

%e 0, 0, 24, 0, 8, 0, 1,

%e 0, 48, 0, 48, 0, 10, 0, 1,

%e 0, 0, 192, 0, 80, 0, 12, 0, 1,

%e 0, 384, 0, 480, 0, 120, 0, 14, 0, 1,

%e 0, 0, 1920, 0, 168, 0, 195, 0, 16, 0, 1,

%e ...

%K nonn,tabl

%O 0,8

%A _N. J. A. Sloane_, Mar 14 2015