I don't know what you mean by "solve the below sequence". Do you mean "find the function f so that z= f(v, x, y)"? There are an infinite number of functions that will give any finite number of specified values. One possibility is to set it up as z= f(v, x, y)= A+ Bv+ Cx+ Dy+ Evx+ Fvy+ Gvz+ Hxy+ Ixz+ Jyz+ Kx^2+ Ly^2+ Mz^2+ Nvxy+ Ovyz+ Pxyz+ Qx^3+ Ry^3+ Sz^3+ Tvxy+ Uxyz. That has the property that it has 21 coefficients, A- U, and your data has 21 values. Put in the given values for x, y, and z to get 21 equations to solve for the coefficients.