|
Search: id:A054759
|
|
|
| A054759 |
|
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. |
|
+0
2
|
|
| 4, 18, 148, 2970, 143224, 16448400, 4484823396, 2901094068042, 4448410550095612, 16178049740086515288, 139402641051212392498528, 2849295959501939989625992464, 137950545200232788276834783781648
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
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
|
|
LINKS
|
S. R. Finch, Lieb's Square Ice Constant
|
|
FORMULA
|
Elliot Lieb proved that lim (a(n))^(1/n^2)=(4/3)^(3/2) as n->infinity.
|
|
CROSSREFS
|
Adjacent sequences: A054756 A054757 A054758 this_sequence A054760 A054761 A054762
Sequence in context: A143992 A060841 A059837 this_sequence A007153 A156870 A145075
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
S. R. Finch (Steven.Finch(AT)inria.fr), Apr 25 2000
|
|
|
Search completed in 0.002 seconds
|
