cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A286318 Number of species of connected partial Latin squares of size n.

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%I A286318 #9 May 14 2017 22:27:39
%S A286318 1,1,3,11,36,213,1405,12274,125235,1490851,20003121,299274006
%N A286318 Number of species of connected partial Latin squares of size n.
%C A286318 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 A286318 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 A286318 Cf. A286317 (is for the same objects but without the requirement to be connected).
%K A286318 nonn,more
%O A286318 1,3
%A A286318 _Ian Wanless_, May 06 2017