Generating function for terms of Euler triangle?

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The forum discussion centers on the formula for generating terms of the Euler triangle, specifically identified as A(n,k)=Sum (-1)^j*(k-j)^n*C(n+1,j), where j ranges from 0 to k. The user initially struggled to locate this formula but eventually found it on Sloan's website. This formula is crucial for those studying combinatorial mathematics and the properties of the Euler triangle.

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ktoz
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I'm sure this is relatively easy, but after an hour or so googling, I can't seem to find the formula for generating terms of the http://steiner.math.nthu.edu.tw/chuan/123/test/euler.htm

Is this known by some other name? Maybe that's why I can't find it?

Thanks
 
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Found it at Sloan's

For anyone else who's interested, the formula is:

A(n,k)=Sum (-1)^j*(k-j)^n*C(n+1,j), j=0..k

and the link is here here
 

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