

A002906


High temperature series for spin1/2 Ising magnetic susceptibility on 2D square lattice.
(Formerly M3447 N1401)


3



1, 4, 12, 36, 100, 276, 740, 1972, 5172, 13492, 34876, 89764, 229628, 585508, 1486308, 3763460, 9497380, 23918708, 60080156, 150660388, 377009364, 942106116, 2350157268, 5855734740, 14569318492, 36212402548, 89896870204
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OFFSET

0,2


REFERENCES

C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 380.
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391406.
A. J. Guttmann, Asymptotic analysis of powerseries expansions, pp. 1234 of C. Domb and J. L. Lebowitz, editors, Phase Transitions and Critical Phenomena. Vol. 13, Academic Press, NY, 1989.
B. G. Nickel, personal communication.
B. Nickel, Journal of Physics A, Math. Gen. 32, 3889 (1999), 33, 1693 (2000)
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Fred Hucht (fred(AT)thp.unidue.de), Oct 2008, Table of n, a(n) for n=0..116 [Coefficients of chi = Sum[a[n] z^n,{n,0,116}] with z=Tanh[1/kBT]]
S. R. Finch, LenzIsing Constants
M. E. Fisher and R. J. Burford, Theory of critical point scattering and correlations I: the Ising model, Phys. Rev. 156 (1967), 583621.
S. Gartenhaus and W. S. McCullough, Higher order corrections for the quadratic Ising lattice susceptibility at criticality, Phys. Rev. B 38 (1988) 1168811703.
A. J. Guttmann, Asymptotic analysis of powerseries expansions, pp. 113, 5657, 142143, 150151 from of C. Domb and J. L. Lebowitz, editors, Phase Transitions and Critical Phenomena. Vol. 13, Academic Press, NY, 1989. (Annotated scanned copy)
M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 5262.
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) 624639.
M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653660.
Peter Young, Coefficients in the series expansions


CROSSREFS

Sequence in context: A002842 A051041 A192626 * A191756 A001411 A095350
Adjacent sequences: A002903 A002904 A002905 * A002907 A002908 A002909


KEYWORD

nonn,nice


AUTHOR

N. J. A. Sloane


EXTENSIONS

Corrections and updates from Steven Finch
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008


STATUS

approved



