Consider f(n):= the number of ways of walking from the origin to the point, [53, 141], in the THREE-QUARTER-PLANE, with 3*n-2 steps using the Kreweras steps {\ [-1,0],[0,-1],[1,1]} Then f(n)=0 for n<, FAIL[2], and defining, g(n) = f(FAIL[2] - 1 + n), g(n) is annihilated by an operator of order, 0, and degree in n of the coefficients, 0 Here it is FAIL[1] -------------------------- This took, 606806.213, seconds.