|
| |
|
|
A114296
|
|
First row of Modified Schroeder numbers for q=3 (A114292).
|
|
0
| |
|
|
1, 1, 2, 5, 16, 57, 224, 934, 4092, 18581, 86888
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| a(i) is the number of paths from (0,0) to (i,i) using steps of length (0,1), (1,0) and (1,1), not passing above the line y=x nor below the line y=x/2.
|
|
|
REFERENCES
| C. Hanusa (2005). A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.
|
|
|
EXAMPLE
| The number of paths from (0,0) to (3,3) staying between the lines y=x and y=x/2 using steps of length (0,1), (1,0) and (1,1) is a(3)=5.
|
|
|
CROSSREFS
| See also A112833-A112844 and A114292-A114299.
Sequence in context: A072110 A197158 A188314 * A121689 A192635 A009225
Adjacent sequences: A114293 A114294 A114295 * A114297 A114298 A114299
|
|
|
KEYWORD
| nonn,more
|
|
|
AUTHOR
| Christopher Hanusa (chanusa(AT)math.binghamton.edu), Nov 21 2005
|
|
|
EXTENSIONS
| Corrected by Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 04 2006
|
| |
|
|
