Problem with implementing the following functions

• To: mathgroup at smc.vnet.net
• Subject: [mg23874] Problem with implementing the following functions
• From: "Matt Herman" <Henayni at hotmail.com>
• Date: Thu, 15 Jun 2000 00:51:11 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Hello,

here are the functions

q[(Sqrt[x_] + (z_))/(y_), 1] := (x - (Floor[(z + Sqrt[x])/y]*y -
z)^2)/y

q[(Sqrt[x_] + (z_))/(y_), n_] :=
q[(z + Sqrt[x])/y, n - 2] +
a[(z + Sqrt[x])/y, n - 1]*(
m[(z + Sqrt[x])/y, n - 1] - m[(z + Sqrt[x])/y, n])

a[(Sqrt[x_] + (z_))/(y_), 0] := Floor[(z + Sqrt[x])/y]

a[(Sqrt[x_] + (z_))/(y_), n_] :=
Floor[(m[(z + Sqrt[x])/y, n] + Sqrt[x])/q[(z + Sqrt[x])/y, n]]

m[(Sqrt[x_] + (z_))/(y_), 1] := Floor[(z + Sqrt[x])/y]*y - z

m[(Sqrt[x_] + (z_))/(y_), n_] :=
a[(z + Sqrt[x])/y, n - 1]*q[(z + Sqrt[x])/y, n - 1] -
m[(z + Sqrt[x])/y, n - 1]

For some reason mathematica gives me blank inputs when I do
a[(9+Sqrt[18])/9,5] (or any n for that matter.

Any ideas?

Thanks,

Matt

```

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