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genfunc[rgf_relate] - relate sequences with common factors in their generating functions
Calling Sequence
rgf_relate(Fz, z, Fn, n, Gz)
rgf_relate(Fz, z, Fn, n, Gy, y)
Parameters
Fz
-
rational generating function
z
name, generating function variable
Fn
expression for nth term of the sequence encoded by Fz
n
name, index variable for Fn
Gz, Gy
y
(optional) name, generating function variable for Gy
Description
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.
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.
The nth term of the sequence encoded by Gz (Gy) is expressed as a function of Fn.
The value FAIL is returned if Fz is a trivial rational generating function.
The command with(genfunc,rgf_relate) allows the use of the abbreviated form of this command.
Examples
See Also
genfunc, genfunc/rgf_charseq
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