Second-Order Eulerian Triangle

Author

Eric W. Weisstein
April 15, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Combinatorics/Second-OrderEulerianTriangle.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Second-OrderEulerianTriangle.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Enumeration

e[n_,0]:=1
e[n_,k_]:=0 /;k≥n
e[n_,k_]:=(k+1)e[n-1,k]+(2n-k-1)e[n-1,k-1]

Table[e[n,k],{n,7},{k,0,n-1}]//ColumnForm