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Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals).
1

%I #10 Aug 17 2021 02:48:35

%S 1,2,2,2,8,2,2,16,16,2,2,24,48,24,2,2,32,104,104,32,2,2,40,180,296,

%T 180,40,2,2,48,280,656,656,280,48,2,2,56,400,1240,1772,1240,400,56,2,

%U 2,64,544,2104,4032,4032,2104,544,64,2,2,72,708,3304,7972,10728,7972

%N Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals).

%H A. J. Guttmann, <a href="https://doi.org/10.1016/S0012-365X(99)00262-9">Indicators of solvability for lattice models</a>, Discrete Math., 217 (2000), 167-189 (chi_1 of Section 3).

%H I. Syozi and S. Naya, <a href="http://dx.doi.org/10.1143/PTP.24.829">Symmetrical properties of two-dimensional Ising lattices</a>, Prog. Theor. Phys., 24 (1960), 829-839.

%F G.f.: A(x, y)=(1-x^2)*(1-y^2)/(1-x-y-xy)^2 * (1 - 16*x^2*y^2/((1-x^2)^2*(1-y^2)^2))^(1/4).

%e Array begins:

%e 1 2 2 2 2...

%e 2 8 16 24 32...

%e 2 16 48 104 180...

%e 2 24 104 296 656...

%e 2 32 180 656 1772...

%Y Column 4 is A055920/2.

%K nonn,tabl

%O 0,2

%A _Christian G. Bower_, Jun 19 2000