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A002906 High temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice.
(Formerly M3447 N1401)
+0
1
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 (list; graph; listen)
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. 391-406.

M. E. Fisher and R. J. Burford, Theory of critical point scattering and correlations I: the Ising model, Phys. Rev. 156 (1967), 583-621.

S. Gartenhaus and W. S. McCullough, Higher order corrections for the quadratic Ising lattice susceptibility at criticality, Phys. Rev. B 38 (1988) 11688-11703.

B. G. Nickel, personal communication.

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.

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.

M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653-660.

LINKS

Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008, Table of n, a(n) for n = 0..34

S. R. Finch, Lenz-Ising Constants

Peter Young, Coefficients in the series expansions

CROSSREFS

Sequence in context: A063810 A002842 A051041 this_sequence A001411 A095350 A084776

Adjacent sequences: A002903 A002904 A002905 this_sequence A002907 A002908 A002909

KEYWORD

nonn,nice

AUTHOR

njas

EXTENSIONS

Corrections and updates from S. R. Finch (Steven.Finch(AT)inria.fr)

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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