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%I #20 Mar 03 2024 19:01:16
%S 1,71,10012,1453535,211351945,30734932553,4469527322891,
%T 649966808093412,94519361817920403,13745178487929574337,
%U 1998848998552669987841,290676277692731170734063,42270676011348793634137996,6147079027705968859829472231,893919476535411566264300633833
%N Number of configurations of the general monomer-dimer model for a 4 X 2n square lattice.
%H Alois P. Heinz, <a href="/A260034/b260034.txt">Table of n, a(n) for n = 0..460</a>
%H N. Allegra, <a href="http://arxiv.org/abs/1410.4131">Exact solution of the 2d dimer model: Corner free energy, correlation functions and combinatorics</a>, arXiv:1410.4131 [cond-mat.stat-mech], 2014. See Table 5.
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (163, -2641, 12479, -22577, 16705, -5331, 769, -47, 1).
%F G.f.: -(x^8 -36*x^7 +432*x^6 -2033*x^5 +4000*x^4 -3389*x^3 +1080*x^2 -92*x +1) / (x^9 -47*x^8 +769*x^7 -5331*x^6 +16705*x^5 -22577*x^4 +12479*x^3 -2641*x^2 +163*x -1). - _Alois P. Heinz_, Mar 07 2016
%t LinearRecurrence[{163, -2641, 12479, -22577, 16705, -5331, 769, -47, 1}, {1, 71, 10012, 1453535, 211351945, 30734932553, 4469527322891, 649966808093412, 94519361817920403}, 20] (* _Jean-François Alcover_, Dec 15 2018 *)
%Y Bisection (even part) of A033507.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jul 19 2015
%E a(0), a(5)-a(14) from _Alois P. Heinz_, Mar 07 2016
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