login
Denominators of coefficients of the partition function per spin, lambda (divided by 2), in the very high temperature region, expressed as a power series in the parameter K^2, for the spin-1/2 Ising model on square lattice.
2

%I #18 Mar 10 2024 21:22:22

%S 1,1,3,45,315,14175,66825,42567525,58046625,1993723875,9280784638125,

%T 2143861251406875,21132346621010625,4370553505709015625,

%U 9086380738369043484375,564653660170076273671875

%N Denominators of coefficients of the partition function per spin, lambda (divided by 2), in the very high temperature region, expressed as a power series in the parameter K^2, for the spin-1/2 Ising model on square lattice.

%H Hendrik A. Kramers and Gregory H. Wannier. <a href="https://doi.org/10.1103/PhysRev.60.252">Statistics of the two-dimensional ferromagnet. Part I</a>. Phys. Rev. 60 (1941), 252-262.

%H Hendrik A. Kramers and Gregory H. Wannier. <a href="https://doi.org/10.1103/PhysRev.60.263">Statistics of the two-dimensional ferromagnet. Part II</a>. Phys. Rev. 60 (1941), 263-276. See (41), p. 263.

%H Hendrik A. Kramers and Gregory H. Wannier, <a href="/A370953/a370953.pdf">Extract from page 263 of Part II.</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Square_lattice_Ising_model">Square lattice Ising model</a>.

%Y See A370953 for numerators.

%Y Cf. A370955, A002908.

%K nonn,frac

%O 0,3

%A _N. J. A. Sloane_, Mar 10 2024

%E Terms a(5) and beyond from _Andrey Zabolotskiy_, Mar 10 2024