Recursive realtion solution in terms of variable(p) in Mathematica

Recursive realtion solution in terms of variable(p) in Mathematica

u[0, 0] =1 u[m, n] =(1/(p + m + m^2)) (m*u[(m - 1), n] + n*u[(m + 1), (n -
2)] + m*(m - 1)*u[(m - 2), (n + 2)])
I want u[m,n] in terms of p; don't want answer like u[0,2]=2u[1,0]/p only
in terms of p; like I want value of u[m,n] for different value of m and n.