|
%I M1853 N0733 #25 Jun 02 2022 09:58:54
%S 1,0,-2,-8,-34,-152,-714,-3472,-17318,-88048,-454378,-2373048,
%T -12515634,-66551016,-356345666,-1919453984,-10392792766,-56527200992,
%U -308691183938,-1691769619240,-9301374102034
%N Magnetization for square lattice.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%D J. M. Yeomans, Statistical mechanics of phase transitions, Oxford Univ. Press, 1992, p. 93.
%H C. Domb, <a href="/A007239/a007239.pdf">Ising model</a>, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
%H David Park, <a href="https://doi.org/10.1016/S0031-8914(56)90050-7">A summation method for crystal statistics</a>, Physica 22 (1956), 932-940.
%F n*a(n) + 6*(-n+1)*a(n-1) + 4*a(n-2) + 6*(n-3)*a(n-3) + (-n+4)*a(n-4) = 0. - _R. J. Mathar_, Mar 08 2013
%p series((1+x)^(1/4)*(1-6*x+x^2)^(1/8)/(1-x)^(1/2),x,40).
%Y Cf. other structures: A007206, A007207, A002929, A002930, A003193, A003196.
%Y Cf. higher spins: A010102, A010105/A030120, A010103, A010106/A030121, A010104.
%Y Cf. Potts model: A057374, A057378.
%Y Cf. A002927 (susceptibility).
%K sign,easy
%O 0,3
%A _N. J. A. Sloane_, _Simon Plouffe_
|
