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Search: id:A055921
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| A055921 |
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Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals). |
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+0
2
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| 1, 2, 2, 2, 8, 2, 2, 16, 16, 2, 2, 24, 48, 24, 2, 2, 32, 104, 104, 32, 2, 2, 40, 180, 296, 180, 40, 2, 2, 48, 280, 656, 656, 280, 48, 2, 2, 56, 400, 1240, 1772, 1240, 400, 56, 2, 2, 64, 544, 2104, 4032, 4032, 2104, 544, 64, 2, 2, 72, 708, 3304, 7972, 10728, 7972
(list; table; graph; listen)
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OFFSET
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0,2
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REFERENCES
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I. Syozi, S. Naya, Symmetrical properties of two-dimensional Ising lattices, Prog. Theor. Phys., 24 (1960), 829-839.
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LINKS
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A. J. Guttmann, Indicators of solvability for lattice models, Discrete Math., 217 (2000), 167-189 (chi_1 of Section 3).
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FORMULA
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G.f.: A(x, y)=(1-x^2)*(1-y^2)/(1-x-y-xy)^2 * (1 - 16*x^2*y^2/((1-x^2)^2*(1-y^2)^2))^(1/4).
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EXAMPLE
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Array begins:
1 2 2 2 2...
2 8 16 24 32...
2 16 48 104 180...
2 24 104 296 656...
2 32 180 656 1772...
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CROSSREFS
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Column 4 is A055920/2.
Sequence in context: A132697 A160689 A137508 this_sequence A029605 A054271 A011202
Adjacent sequences: A055918 A055919 A055920 this_sequence A055922 A055923 A055924
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KEYWORD
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nonn,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jun 19 2000
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