genfunc[rgf_relate] - relate sequences with common factors in their generating functions
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Calling Sequence
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rgf_relate(Fz, z, Fn, n, Gz)
rgf_relate(Fz, z, Fn, n, Gy, y)
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Parameters
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Fz
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rational generating function
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z
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name, generating function variable
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Fn
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expression for nth term of the sequence encoded by Fz
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n
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name, index variable for Fn
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Gz, Gy
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rational generating function
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y
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(optional) name, generating function variable for Gy
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Description
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This function relates sequences with common nonzero roots in the denominators of their generating functions. If the generating functions do not have common roots, FAIL is returned.
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If the optional parameter y is used, it is the generating function variable for the fifth parameter. The generating function Gy must not involve the variable z in this case.
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The nth term of the sequence encoded by Gz (Gy) is expressed as a function of Fn.
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The value FAIL is returned if Fz is a trivial rational generating function.
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The command with(genfunc,rgf_relate) allows the use of the abbreviated form of this command.
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Examples
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