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%I #9 May 14 2017 22:27:39
%S 1,1,3,11,36,213,1405,12274,125235,1490851,20003121,299274006
%N Number of species of connected partial Latin squares of size n.
%C The size of a partial Latin square (PLS) is the number of filled entries, not the order of the matrix. The species of a PLS are all those PLSs you can get by permuting the rows, columns and symbols, and also by permuting these three roles themselves. Empty rows and columns are ignored. A PLS is connected if its associated graph (entries are vertices and edges show which entries share their row column or symbol) is connected.
%D H. Dietrich and I. M. Wanless, Small partial Latin squares that embed in an infinite group but not into any finite group, J. Symbolic Comput., to appear. DOI 10.1016/j.jsc.2017.04.002.
%Y Cf. A286317 (is for the same objects but without the requirement to be connected).
%K nonn,more
%O 1,3
%A _Ian Wanless_, May 06 2017
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