Here are two illustrations for how one might want to check to see if g is the same as f. The attached file is a Maple 10 worksheet.

A question was asked in the forums about series tests. I saw that this would also make an excellent weblog entry as well. In answer to the questions: How can I get Maple to determine if a series converges or diverges? and How can I obtain the general representation of a formal power series for a function? I offer the following advice:

I hadn't carefully read the puzzle conditions of the Kopf und Kopf puzzle mentioned by Thomas Richard, I didn't realize that the digits had to be unique. He asked for a hint on how to handle that with my recursive method. The idea is simple, add a parameter (to the recursive procedure) that supplies the available digits. I've attached the code that does this. This would have been a response, rather than a separate blog entry, however, there does not appear to be a way to add attachments to a response.