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.

A192097 Number of tatami tilings of an n X n square region with n monomers and floor(n * (n - 1) / 4) horizontal dimers.

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%I A192097 #18 Dec 16 2016 03:05:48
%S A192097 1,1,2,4,8,8,16,28,40,80,144,252,456,840
%N A192097 Number of tatami tilings of an n X n square region with n monomers and floor(n * (n - 1) / 4) horizontal dimers.
%C A192097 A tatami tiling consists of dimers (1 X 2) and monomers (1 X 1) where no four meet at a point.
%C A192097 There are at most n * (n - 1) / 2 horizontal dimers in any tiling of an n X n square with n monomers.
%C A192097 If there are floor(n * (n - 1) / 4) horizontal dimers, the numbers of horizontal dimers and vertical dimers differ by at most one.
%H A192097 A. Erickson, F. Ruskey, M. Schurch and J. Woodcock, <a href="http://www.combinatorics.org/Volume_18/Abstracts/v18i1p109.html">Monomer-Dimer Tatami Tilings of Rectangular Regions</a>, Electronic Journal of Combinatorics, 18(1) (2011) P109, 24 pages.
%Y A192097 Cf. A192095.
%K A192097 nonn,more
%O A192097 0,3
%A A192097 _Frank Ruskey_ and Yuji Yamauchi (eugene.uti(AT)gmail.com), Jul 15 2011