%I A002906 M3447 N1401
%S A002906 1,4,12,36,100,276,740,1972,5172,13492,34876,89764,229628,585508,
%T A002906 1486308,3763460,9497380,23918708,60080156,150660388,377009364,
%U A002906 942106116,2350157268,5855734740,14569318492,36212402548,89896870204
%N A002906 High temperature series for spin-1/2 Ising magnetic susceptibility on
2D square lattice.
%D A002906 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences,
Academic Press, 1995 (includes this sequence).
%D A002906 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973
(includes this sequence).
%D A002906 C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol.
3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 380.
%D A002906 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
%D A002906 M. E. Fisher and R. J. Burford, Theory of critical point scattering and
correlations I: the Ising model, Phys. Rev. 156 (1967), 583-621.
%D A002906 S. Gartenhaus and W. S. McCullough, Higher order corrections for the
quadratic Ising lattice susceptibility at criticality, Phys. Rev.
B 38 (1988) 11688-11703.
%D A002906 B. G. Nickel, personal communication.
%D A002906 M. F. Sykes, Some counting theorems in the theory of the Ising problem
and the excluded volume problem, J. Math. Phys., 2 (1961), 52-62.
%D A002906 M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, High temperature
series for the susceptibility of the Ising model, I. Two dimensional
lattices, J. Phys. A 5 (1972) 624-639.
%D A002906 M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and
returns on a lattice, J. Phys. A 5 (1972), 653-660.
%D A002906 B. Nickel, Journal of Physics A, Math. Gen. 32, 3889 (1999), 33, 1693
(2000)
%H A002906 Fred Hucht (fred(AT)thp.uni-due.de), Oct 2008, <a href="b002906.txt">
Coefficients</a> of chi = Sum[a[n] z^n,{n,0,116}] with z=Tanh[1/kBT]
%H A002906 S. R. Finch, <a href="http://algo.inria.fr/bsolve/constant/ising/ising.html">
Lenz-Ising Constants</a>
%H A002906 Peter Young, <a href="http://www.apyoung.com/~peter/219/series.dat">Coefficients
in the series expansions</a>
%Y A002906 Sequence in context: A063810 A002842 A051041 this_sequence A001411 A095350
A084776
%Y A002906 Adjacent sequences: A002903 A002904 A002905 this_sequence A002907 A002908
A002909
%K A002906 nonn,nice
%O A002906 0,2
%A A002906 N. J. A. Sloane (njas(AT)research.att.com).
%E A002906 Corrections and updates from S. R. Finch (Steven.Finch(AT)inria.fr)
%E A002906 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008
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