Worpitzky's Identity

Author

Eric W. Weisstein
August 29, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Combinatorics/WorpitzkysIdentity.nb.

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

©2006 Wolfram Research, Inc. except for portions noted otherwise

Initialization

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Check

Table[Sum[Eulerian[n,k]Binomial[x+k,n],{k,0,n}],{n,0,4}]//Expand