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A260036 Number of configurations of the general monomer-dimer model for an 8 X 2n square lattice. 2

%I #17 Feb 29 2020 10:28:09

%S 1,7573,211351945,6158217253688,179788343101980135,

%T 5249581929453966097649,153282416794739031814924079,

%U 4475693398084103779028604877129,130685784089846859975392644067590259,3815894599555857747953551843550514992237

%N Number of configurations of the general monomer-dimer model for an 8 X 2n square lattice.

%H Alois P. Heinz, <a href="/A260036/b260036.txt">Table of n, a(n) for n = 0..225</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.

%t A033511 = Cases[Import["https://oeis.org/A033511/b033511.txt", "Table"], {_, _}][[All, 2]];

%t Partition[A033511, 2][[All, 1]] (* _Jean-François Alcover_, Feb 29 2020 *)

%Y Bisection (even part) of A033511.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jul 19 2015

%E a(0), a(5)-a(9) from _Alois P. Heinz_, Mar 08 2016

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Last modified August 25 19:44 EDT 2024. Contains 375454 sequences. (Running on oeis4.)