%I #17 Mar 15 2020 09:45:13
%S 1,1,6,9366,56183135190,5355375592488768406230,
%T 22807137588023760967484928392369803926,
%U 9821625950779149908637519199878777711089567893389821437206
%N The number of rooted chains of reflexive matrices of order n.
%C Also, the number of n X n distinct rooted reflexive fuzzy matrices.
%C The number of chains in the power set of (n^2-n)-elements such that the first term of the chains is either an empty set or a set of (n^2-n)-elements.
%C The number of chains in the collection of all reflexive matrices of order n such that the first term of the chains is either identity matrix or unit matrix.
%H S. R. Kannan and Rajesh Kumar Mohapatra, <a href="https://arxiv.org/abs/1909.13678">Counting the Number of Non-Equivalent Classes of Fuzzy Matrices Using Combinatorial Techniques</a>, arXiv preprint arXiv:1909.13678 [math.GM], 2019.
%H V. Murali, <a href="https://doi.org/10.1016/j.fss.2006.03.005">Combinatorics of counting finite fuzzy subsets</a>, Fuzzy Sets Syst., 157(17)(2006), 2403-2411.
%H M. Tărnăuceanu, <a href="http://www.jstor.org/stable/2690450">The number of chains of subgroups of a finite elementary abelian p-group</a>, arXiv preprint arXiv:1506.08298 [math.GR], 2015.
%F a(n) = A000629(n^2-n).
%Y Cf. A000629, A038719, A007047, A328044, A330301, A330302, A330804, A331957.
%K nonn
%O 0,3
%A S. R. Kannan, _Rajesh Kumar Mohapatra_, Feb 29 2020
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