Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`LittleChildPaclet`
CatalanUnrank  |
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Details and Options
Examples
(2)
Basic Examples
(1)
Here is the number of totally balanced binary sequences with five 1's:
In[1]:=
CatalanNumber[5]
Out[1]=
42
Use CatalanUnrank to find the 20th totally balanced binary sequence with five 1's:
In[2]:=
 | CatalanUnrank |
Out[2]=
{0,0,1,0,1,0,1,1,0,1}
Show all totally balanced binary sequences with five 1’s:
In[3]:=
 | CatalanUnrank |
Out[3]=
{{0,0,0,0,0,1,1,1,1,1},{0,0,0,0,1,0,1,1,1,1},{0,0,0,0,1,1,0,1,1,1},{0,0,0,0,1,1,1,0,1,1},{0,0,0,0,1,1,1,1,0,1},{0,0,0,1,0,0,1,1,1,1},{0,0,0,1,0,1,0,1,1,1},{0,0,0,1,0,1,1,0,1,1},{0,0,0,1,0,1,1,1,0,1},{0,0,0,1,1,0,0,1,1,1},{0,0,0,1,1,0,1,0,1,1},{0,0,0,1,1,0,1,1,0,1},{0,0,0,1,1,1,0,0,1,1},{0,0,0,1,1,1,0,1,0,1},{0,0,1,0,0,0,1,1,1,1},{0,0,1,0,0,1,0,1,1,1},{0,0,1,0,0,1,1,0,1,1},{0,0,1,0,0,1,1,1,0,1},{0,0,1,0,1,0,0,1,1,1},{0,0,1,0,1,0,1,0,1,1},{0,0,1,0,1,0,1,1,0,1},{0,0,1,0,1,1,0,0,1,1},{0,0,1,0,1,1,0,1,0,1},{0,0,1,1,0,0,0,1,1,1},{0,0,1,1,0,0,1,0,1,1},{0,0,1,1,0,0,1,1,0,1},{0,0,1,1,0,1,0,0,1,1},{0,0,1,1,0,1,0,1,0,1},{0,1,0,0,0,0,1,1,1,1},{0,1,0,0,0,1,0,1,1,1},{0,1,0,0,0,1,1,0,1,1},{0,1,0,0,0,1,1,1,0,1},{0,1,0,0,1,0,0,1,1,1},{0,1,0,0,1,0,1,0,1,1},{0,1,0,0,1,0,1,1,0,1},{0,1,0,0,1,1,0,0,1,1},{0,1,0,0,1,1,0,1,0,1},{0,1,0,1,0,0,0,1,1,1},{0,1,0,1,0,0,1,0,1,1},{0,1,0,1,0,0,1,1,0,1},{0,1,0,1,0,1,0,0,1,1},{0,1,0,1,0,1,0,1,0,1}}
Neat Examples
(1)
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