Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
NarayanaNumber |
|
| | ||||
Examples
(2)
Basic Examples
(1)
The first 14 rows of the Narayana triangle read as follows:
In[1]:=
GridTable
[n,k],{n,14},{k,n},FrameAll
 | NarayanaNumber |
Out[1]=
1 | | | | | | | | | | | | | |
1 | 1 | | | | | | | | | | | | |
1 | 3 | 1 | | | | | | | | | | | |
1 | 6 | 6 | 1 | | | | | | | | | | |
1 | 10 | 20 | 10 | 1 | | | | | | | | | |
1 | 15 | 50 | 50 | 15 | 1 | | | | | | | | |
1 | 21 | 105 | 175 | 105 | 21 | 1 | | | | | | | |
1 | 28 | 196 | 490 | 490 | 196 | 28 | 1 | | | | | | |
1 | 36 | 336 | 1176 | 1764 | 1176 | 336 | 36 | 1 | | | | | |
1 | 45 | 540 | 2520 | 5292 | 5292 | 2520 | 540 | 45 | 1 | | | | |
1 | 55 | 825 | 4950 | 13860 | 19404 | 13860 | 4950 | 825 | 55 | 1 | | | |
1 | 66 | 1210 | 9075 | 32670 | 60984 | 60984 | 32670 | 9075 | 1210 | 66 | 1 | | |
1 | 78 | 1716 | 15730 | 70785 | 169884 | 226512 | 169884 | 70785 | 15730 | 1716 | 78 | 1 | |
1 | 91 | 2366 | 26026 | 143143 | 429429 | 736164 | 736164 | 429429 | 143143 | 26026 | 2366 | 91 | 1 |
Compute a single Narayana number:
In[2]:=
| NarayanaNumber |
Out[2]=
2520
Applications
(1)
 |
|
 |
|
""