recursion - I want to solve the recurrence relation F(n,m) = F(n-1,m) + F(n,m-1) + 1? -

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I want to know how to solve repetition in 2 variables I want to solve the following link: 

  F (n, m) = f (n -1, m) + f (n, m -1) + 1   
 initial conditions:  
  F (m, 0) = m f (0, n) = nf (0,0) = 0    
 
 
  F (n, m) {if (n == 0) & amp; Amp; Amp; Amp; Amp; Amp; & Amp; Amp; (M == 0) return 0 and if (n == 0) returns M and return (M == 0) back and other return F (N -1, m) + F (N, M-1) + 1 }  / pre>

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