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Search: id:A002890
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| A002890 |
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Low temperature series for spin-1/2 Ising free energy on 2D square lattice.
(Formerly M1463 N0578)
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+0
2
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| 1, 0, 1, 2, 5, 14, 44, 152, 566, 2234, 9228, 39520, 174271, 787246, 3628992, 17019374, 81011889, 390633382, 1905134695, 9385453576, 46653815395, 233788460256, 1180111379105, 5996452414310, 30653752894948
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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The g.f. (1-6*z+9*z**2-4*z**3+z**4)/(4*z-1)/(2*z-1) conjectured by S. Plouffe in his 1992 dissertation is wrong.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
P. D. Beale, Exact distribution of energies in the two-dimensional Ising model, Phys. Rev. Lett. 76 (1996) 78-81
C. Domb, On the theory of cooperative phenomena in crystals, Advances in Phys., 9 (1960), 149-361.
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
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LINKS
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S. R. Finch, Lenz-Ising Constants
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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CROSSREFS
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Sequence in context: A149886 A148336 A119021 this_sequence A118929 A081558 A014322
Adjacent sequences: A002887 A002888 A002889 this_sequence A002891 A002892 A002893
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Corrections and updates from S. R. Finch (Steven.Finch(AT)inria.fr)
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