|
| |
|
|
A114299
|
|
First row of Modified Schroeder numbers for q=9 (A114295).
|
|
7
| |
|
|
1, 1, 1, 1, 1, 2, 5, 13, 34, 89, 288, 1029, 3794, 14113, 52624, 210428, 883881, 3805858, 16570925, 72497060, 325602364, 1498899060, 7017126473, 33185818242, 157858754637, 759960988368, 3706528583080, 18273586377144, 90805138443560
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,6
|
|
|
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=4x/5.
|
|
|
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 (6,6) staying between the lines y=x and y=4x/5 using steps of length (0,1), (1,0) and (1,1) is a(6)=5.
|
|
|
CROSSREFS
| See also A112833-A112844 and A114292-A114298.
Sequence in context: A122367 A048575 A099496 * A112842 A097417 A006801
Adjacent sequences: A114296 A114297 A114298 * A114300 A114301 A114302
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Christopher Hanusa (chanusa(AT)math.binghamton.edu), Nov 21 2005
|
| |
|
|
