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Search: id:A054759
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| A054759 |
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Number of Eulerian orientations of the n X n square lattice (with wrap-around), i.e. number of arrow configurations on n X n grid that satisfy the square ice rule. |
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+0
2
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| 4, 18, 148, 2970, 143224, 16448400, 4484823396, 2901094068042, 4448410550095612, 16178049740086515288, 139402641051212392498528, 2849295959501939989625992464, 137950545200232788276834783781648
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 412-416.
Computed by Jennifer Henry in Dec. 1998.
E. H. Lieb, The residual entropy of square ice, Phys. Rev. 162 (1967) 162-172
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LINKS
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S. R. Finch, Lieb's Square Ice Constant
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FORMULA
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Elliot Lieb proved that lim (a(n))^(1/n^2)=(4/3)^(3/2) as n->infinity.
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CROSSREFS
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Adjacent sequences: A054756 A054757 A054758 this_sequence A054760 A054761 A054762
Sequence in context: A065857 A060841 A059837 this_sequence A007153 A058924 A071173
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KEYWORD
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nonn
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AUTHOR
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S. R. Finch (Steven.Finch(AT)inria.fr), Apr 25 2000
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