we are using Mathematica…

]]>it works again, super-thanks! it is equal the function we have, so it answers the 2nd quizz above, still a good reference it would be superb, thanks again my friend.

]]>Differentiate the generating function in Theorem 2.1 here. The argument is quite standard.

You should be aware that there exist software packages that have gotten very good at dealing with hypergeometric identities and I am certain that one or more of them could write down the generating function automatically given a description of its coefficients.

]]>It seems at least that it isn’t widely known.

Thanks! ]]>

Repeat the same trick as above; this generating function is known.

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