How do I input this system into maple?

How to input such system

BTW we some part of system will be given to us,, which we do not know certently - may be some Ai's may be some Bi's as constants. we do not know how much constants we will get. And we would need from given constants get a soltion for other a开发者_StackOverflow中文版's and b's. in real life we will be provided with s as a constant but I hoped for general solution=)

Let's see for k = 1

The first equation becomes:

 (1)  a0 + a1 = 0   

The second one:

 (2)  a1 - b0 - b1 = 0  

The third one

 (3)  a1 - 2 (b1) = 0   (for n=2)  

and

 (4)  a1 - 3 (b1) = 0   (for n=3)  

Subtracting (3) from (4) you see that b1 == 0

From (3), if b1=0, then a1=0 also

And from (1) and (2) then a0 and b0 are also 0.

So, at least for k=1 there are not non-trivial solutions. It seems that something else is needed as a condition for the problem.

HTH!