|
Search: id:A094893
|
|
|
| A094893 |
|
Total area below the lattice paths of length n defined by the rule [(0),(k)->(k-1)(k+1)] (Dyck paths). |
|
+0
2
|
|
| 1, 4, 12, 34, 84, 212, 488, 1162, 2580, 5932, 12888, 28948, 61992, 136936, 290256, 633178, 1331892, 2877308, 6016760, 12897340, 26843256, 57175384, 118545072, 251163204, 519103624, 1094915512, 2256939888, 4742198632, 9752832720
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
Donatella Merlini, Generating functions for the area below some lattice paths, Discrete Mathematics and Theoretical Computer Science AC, 2003, 217-228
|
|
LINKS
|
D. Merlini, Generating functions for the area below some lattice paths
|
|
FORMULA
|
G.f.: (1+x-sqrt(1-4*x^2))/((1-2*x)*(1-4*x^2))
|
|
MATHEMATICA
|
CoefficientList[ Series[(1 + x - Sqrt[1 - 4*x^2])/((1 - 2*x)*(1 - 4*x^2)), {x, 0, 30}], x] (from Robert G. Wilson v Jun 15 2004)
|
|
CROSSREFS
|
Sequence in context: A000754 A119683 A135373 this_sequence A036880 A110335 A166294
Adjacent sequences: A094890 A094891 A094892 this_sequence A094894 A094895 A094896
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Donatella Merlini (merlini(AT)dsi.unifi.it), Jun 16 2004
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 16 2004
|
|
|
Search completed in 0.002 seconds
|
