1. ## Sequence Problem

Hi,

Would anyone be able to solve the below sequence, as an equation where V, X and Y are the inputs and Z is the output?

V X Y Z
4 0 1 1
1 0 2 2
0 1 2 2
1 1 2 1
2 0 2 2
0 2 2 2
2 1 2 2
1 2 2 2
2 2 2 2
3 0 2 2
0 3 2 2
1 3 2 2
2 3 2 2
4 0 2 2
1 0 3 3
0 1 3 3
1 1 3 3
2 0 3 6
0 2 3 6
2 1 3 6
1 2 3 7

Any help would be much appreciated!

2. ## Re: Sequence Problem

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.

3. ## Re: Sequence Problem

That's a fair challenge. Yeah - z=f(v,x,y) - I'll have a think about your response, thank you for such a swift one.