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A002912 Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.
(Formerly M4179 N1740)
3
0, 0, 1, 6, 27, 122, 516, 2148, 8792, 35622, 143079, 570830, 2264649, 8942436, 35169616, 137839308, 538594704, 2098892928, 8159937669, 31656305550, 122575164923, 473797120338, 1828512928200, 7046581314292, 27119735418924, 104247226432566, 400272672674603 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Previous name was: Susceptibility coefficients for honeycomb.
REFERENCES
C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.
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
Y. Chan, A. J. Guttmann, B. G. Nickel, J. H. H. Perk, The Ising Susceptibility Scaling Function, J Stat Phys 145 (2011), 549-590; arXiv:1012.5272 [cond-mat.stat-mech], 2010-2020. Gives 641 term in the file Honeycomb_z641.txt (divide by 4 to get this sequence).
C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
J. W. Essam and M. E. Fisher, Padé approximant studies of the lattice gas and Ising ferromagnet below the critical point, J. Chem. Phys., 38 (1963), 802-812.
M. F. Sykes and M. E. Fisher, Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices, Physica, 28 (1962), 919-938.
CROSSREFS
Cf. A002978.
Sequence in context: A175716 A178935 A249792 * A030297 A045500 A360057
KEYWORD
nonn
AUTHOR
EXTENSIONS
New name and more terms from Chan et al added by Andrey Zabolotskiy, Mar 03 2021
STATUS
approved

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Last modified September 12 09:23 EDT 2024. Contains 375850 sequences. (Running on oeis4.)