This is a great start, I am going to be learning c and vb I would think, this can be easily accomplished with those languages then a web programming language.

Thanks for your help Filb, you got me going in the right direction.

Glad to help. My suggestion is just reverse the process of checkforwards() and checkbackwards() to generate sequences instead of validating them. Either way you can see the logic in the if statement of the for loops in both functions.

How exactly would I reverse the proccess of testforwards and testbackwards?

I am a bit ne to php I know the basics, but your coding is way to advances :)

Thanks again!

(side note: there are technically infinite permutations; you need to say what integers can be used and how many of them)

The core logic behind the whole thing is this line:
Translated:

Ah I see.

So how do I reverse this to output all sequences?

Sorry, it seems I am a php newbie, just know all basics and mysql basics.

SOrry but I don't have to time to rewrite the script.

Oh, I wasn't asking to rewrite :) What you have done is so much, and I appreciate the time you took. When anyone has the time, if they can tell me which line to edit, and how to edit it I will do the rest.

Thanks again.