Hi,
I have a system of recurrent relationships, like the following (simplified 
example):

a = Function('a')
b = Function('b')
k = Symbol('k', integer=True)

a(k+1) == b(k+1,k)*a(k) + 2*b(k+1,k)
b(k+2,k) == b(k+2,k+1)*b(k+1,k)

Is it possible to give these to SymPy and have it automatically figure out 
what (a(k+n) - a(k)) would look like for some arbitrary integer n?    I 
don't know what this operation is called in SymPy terms, so no idea where 
to start...

Thanks!

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