|
Search: id:A022445
|
|
|
| A022445 |
|
Number of self-avoiding closed walks (from 0 to 0) of length 2n in the strip {0, 1, 2} X Z of the square lattice Z X Z. |
|
+0
2
|
|
| 1, 0, 4, 10, 34, 94, 222, 516, 1202, 2738, 6110, 13496, 29586, 64350, 139006, 298636
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
J. Labelle, Self-avoiding walks and polyominoes in strips, Bull. ICA, 23 (1998), 88-98.
|
|
FORMULA
|
G.f.: [ -6x^7+10x^6-18x^5+27x^4-14x^3+10x^2-4x+1]/[(1+x^2)^2(1-2x)^2] (conjectured). - Ralf Stephan, Apr 28 2004
|
|
CROSSREFS
|
Sequence in context: A149172 A105680 A066454 this_sequence A091003 A140725 A005630
Adjacent sequences: A022442 A022443 A022444 this_sequence A022446 A022447 A022448
|
|
KEYWORD
|
nonn,walk,easy
|
|
AUTHOR
|
Jacques Labelle (labelle.jacques(AT)uqam.ca)
|
|
|
Search completed in 0.002 seconds
|
