GeneratingFunction

GeneratingFunction[expr, n, x]
gives the generating function in x for the sequence whose n^(th) series coefficient is given by the expression expr.

GeneratingFunction[expr, {n1, n2, ...}, {x1, x2, ...}]
gives the multidimensional generating function in , , ... whose , , ... coefficient is given by expr.

Details and OptionsDetails and Options

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

The generating function for the sequence whose n^(th) term is 1:

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All coefficients in the series are 1:

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Univariate generating function:

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Multivariate:

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The generating function for a shifted sequence:

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