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A002906 High temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice.
(Formerly M3447 N1401)
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; refs; listen; history; text; internal format)
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.

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).

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.

B. Nickel, Journal of Physics A, Math. Gen. 32, 3889 (1999), 33, 1693 (2000)

LINKS

Fred Hucht (fred(AT)thp.uni-due.de), Oct 2008, Coefficients of chi = Sum[a[n] z^n,{n,0,116}] with z=Tanh[1/kBT]

S. R. Finch, Lenz-Ising Constants

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

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Last modified October 24 18:26 EDT 2014. Contains 248516 sequences.