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ZTarnsform[Sin[4 n],n,z] OK, but ZTransform[Sin[5 n],n,z,] hangs?

• To: mathgroup at smc.vnet.net
• Subject: [mg56772] ZTarnsform[Sin[4 n],n,z] OK, but ZTransform[Sin[5 n],n,z,] hangs?
• From: "steve" <nma124 at hotmail.com>
• Date: Thu, 5 May 2005 06:03:47 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hello;
This is Mathematica 5.1 on windows.

This is a strange one.

When I start Mathematica and type

ZTarnsform[Sin[4 n],n,z]

Then I get the answer.

but if replace '4' by '5' above, I see Mathematica starts
to consume huge amount of memory untill the PC hangs running
out of virtual RAM.

ZTarnsform[Sin[5 n],n,z]   <---- hangs
ZTarnsform[Sin[4 n],n,z]   <---- ok

any one has any idea what is going on? is this some subtle
mathemtical thing I am overlooking that is causing this?
what is so special about '5' here? 

thanks,
Steve

• Follow-Ups:
  • Re: ZTarnsform[Sin[4 n],n,z] OK, but ZTransform[Sin[5 n],n,z,] hangs?
    • From: Chris Chiasson <chris.chiasson@gmail.com>