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

1, 7573, 211351945, 6158217253688, 179788343101980135, 5249581929453966097649, 153282416794739031814924079, 4475693398084103779028604877129, 130685784089846859975392644067590259, 3815894599555857747953551843550514992237

Offset: 0

Author

N. J. A. Sloane, Jul 19 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..225
• N. Allegra, Exact solution of the 2d dimer model: Corner free energy, correlation functions and combinatorics, arXiv:1410.4131 [cond-mat.stat-mech], 2014. See Table 5.

Crossrefs

Bisection (even part) of A033511.

Programs

Mathematica

A033511 = Cases[Import["https://oeis.org/A033511/b033511.txt", "Table"], {, }][[All, 2]];
Partition[A033511, 2][[All, 1]] (* Jean-François Alcover, Feb 29 2020 *)

Extensions

a(0), a(5)-a(9) from Alois P. Heinz, Mar 08 2016