Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
EulerianCatalanNumber |
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Details and Options
Examples
(1)
Basic Examples
(1)
The first 21 Eulerian Catalan numbers:
In[1]:=
 | EulerianCatalanNumber |
Out[1]=
{2,22,604,31238,2620708,325024572,55942352184,12765597850950,3730771315561300,1359124435588313876,603916464771468176392,321511316149669476991132,202039976682357297272094824,147980747895225006590333244088,124963193751534047864734415925360,120523981455993504966525708346887750,131671692334895976886647813958596908340,161759954125032708920885781040309430206500,222019441630075420847480526017947263931809000,338476895760295138790385051321218766549279671220,570180937724400876712836731188276811777920749126840}
Let's compute the list with the definition.
In[2]:=
n
[2n+1,n+1][Range[21]]
| EulerianNumber |
n+1
Out[2]=
{2,22,604,31238,2620708,325024572,55942352184,12765597850950,3730771315561300,1359124435588313876,603916464771468176392,321511316149669476991132,202039976682357297272094824,147980747895225006590333244088,124963193751534047864734415925360,120523981455993504966525708346887750,131671692334895976886647813958596908340,161759954125032708920885781040309430206500,222019441630075420847480526017947263931809000,338476895760295138790385051321218766549279671220,570180937724400876712836731188276811777920749126840}
We could write this as .
2n+1 |
n+1 |
n+1
In[3]:=
2n+1 |
n+1 |
n+1
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""