Solving a recurrence equation for P{X(n)=m}

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vtakhist
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Good Day. I need to solve reccurent sequence.
P{X(n)=m}=SUM(from 1, to n-1)(p(n,k)*P{X(k)=m-1}
P{X(0}=0}=1 P{X(1)=0}=1
p(n,k)-some const witch depends on n and k.
I need full solvation of this problem.
Thanks for help.
 
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