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.

A071103 Number of perfect matchings in variant of n X n+2 Aztec rectangle graph.

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%I A071103 #12 Mar 07 2016 04:40:08
%S A071103 12,168,4224,206848,20316160,4053794816,1651951796224,
%T A071103 1376451119022080,2342575493674434560,8125862822063095414784,
%U A071103 57307393009149041432330240
%N A071103 Number of perfect matchings in variant of n X n+2 Aztec rectangle graph.
%C A071103 The graph consists of the vertices (x,y) bounded by 0<=x<=2n+1, 0<=y<=2n+1, n+1<=x+y<=3n+1 and |y-x|<=n+2. Vertices (x1,y1) and (x2,y2) are adjacent iff |x1-x2|=1 and y1=y2 or x1=x2 and |y1-y2|=1 or |x1-x2|=|y1-y2|=1 and x1+y1+n is odd. The graph is planar, has A090288(n) vertices and 6*n^2 + 12*n + 1 edges. Figure 12 in the J. Propp reference shows the graph for n=3.  - _Andrew Howroyd_, Mar 06 2016
%D A071103 J. Propp, Enumeration of matchings: problems and progress, pp. 255-291 in L. J. Billera et al., eds, New Perspectives in Algebraic Combinatorics, Cambridge, 1999 (see Problem 28).
%H A071103 J. Propp, <a href="http://faculty.uml.edu/jpropp/update.pdf">Updated article</a>
%H A071103 J. Propp, Enumeration of matchings: problems and progress, in L. J. Billera et al. (eds.), <a href="http://www.msri.org/publications/books/Book38/contents.html">New Perspectives in Algebraic Combinatorics</a>
%K A071103 nonn
%O A071103 1,1
%A A071103 _N. J. A. Sloane_, May 28 2002
%E A071103 a(4) inserted, a(6)-a(11) from _Andrew Howroyd_, Mar 06 2016