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.

A286317 Number of species of partial Latin squares of size n.

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%I A286317 #22 Aug 29 2019 01:36:48
%S A286317 1,2,5,18,59,306,1861,15097,146893,1693416,22239872,327670703
%N A286317 Number of species of partial Latin squares of size n.
%C A286317 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.
%H A286317 H. Dietrich and I. M. Wanless, <a href="https://doi.org/10.1016/j.jsc.2017.04.002">Small partial Latin squares that embed in an infinite group but not into any finite group</a>, J. Symbolic Comput., Volume 86, May-June 2018, Pages 142-152. DOI 10.1016/j.jsc.2017.04.002.
%H A286317 Raúl M. Falcón, Rebecca J. Stones, <a href="https://arxiv.org/abs/1908.10610">Enumerating partial Latin rectangles</a>, arXiv:1908.10610 [math.CO], 2019.
%Y A286317 Cf. A003090 (analog of this sequence, but for completed Latin squares), A286318 (for the same objects as this sequence, but with the extra requirement of being connected).
%K A286317 nonn,more
%O A286317 1,2
%A A286317 _Ian Wanless_, May 06 2017