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A256039 Triangle read by rows: number of idempotents of rank k in partial Brauer monoid PB_n. 0

%I

%S 1,1,1,4,2,1,16,18,3,1,100,88,48,4,1,676,860,280,100,5,1,5776,6696,

%T 4020,680,180,6,1,53824,76552,35196,13580,1400,294,7,1,583696,805568,

%U 531328,131936,37240,2576,448,8,1,6864400,10765008,6159168,2571744,397656,88200,4368,648,9,1,90174016,141145120,101644560,32404800,9780960,1027152,187320,6960,900,10,1

%N Triangle read by rows: number of idempotents of rank k in partial Brauer monoid PB_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, 2014.

%e Triangle begins:

%e 1,

%e 1, 1,

%e 4, 2, 1,

%e 16, 18, 3, 1,

%e 100, 88, 48, 4, 1,

%e 676, 860, 280, 100, 5, 1,

%e 5776, 6696, 4020, 680, 180, 6, 1,

%e 53824, 76552, 35196, 13580, 1400, 294, 7, 1,

%e 583696, 805568, 531328, 131936, 37240, 2576, 448, 8, 1,

%e 6864400, 10765008, 6159168, 2571744, 397656, 88200, 4368, 648, 9, 1,

%e 90174016, 141145120, 101644560, 32404800, 9780960, 1027152, 187320, 6960, 900, 10, 1,

%e ...

%K nonn,tabl

%O 0,4

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

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Last modified April 19 06:59 EDT 2019. Contains 322237 sequences. (Running on oeis4.)