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Combinatorics

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  • Functions I understand in combinatorics

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  • Combinatorics
  • Stirling permutation

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PeterBurbery`Combinatorics`
EulerianCatalanNumber
​
EulerianCatalanNumber
[n]
calculates the
n
th Eulerian Catalan number.
​
Examples  
(1)
Basic Examples  
(1)
The first 21 Eulerian Catalan numbers
In[1]:=
EulerianCatalanNumber
[Range[21]]
Out[1]=
{2,22,604,31238,2620708,325024572,55942352184,12765597850950,3730771315561300,1359124435588313876,603916464771468176392,321511316149669476991132,202039976682357297272094824,147980747895225006590333244088,124963193751534047864734415925360,120523981455993504966525708346887750,131671692334895976886647813958596908340,161759954125032708920885781040309430206500,222019441630075420847480526017947263931809000,338476895760295138790385051321218766549279671220,570180937724400876712836731188276811777920749126840}
SeeAlso
CatalanNumber
 
▪
EulerianNumber
RelatedGuides
▪
Combinatorics
RelatedLinks
▪
OEIS—A177042 Eulerian version of the Catalan numbers, a(n) = A008292 (2*n+1,n+1)/(n+1).
""

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