how to find the equation of this set of points?

Question

What the relation (Equation) between these numbers (X, Y, Z)?

Your answer will be highly appreciated.

Answer 1

Well this works:

$$Z - Y = 10X + 11\left\lfloor\frac{X-8}{10}\right\rfloor -2$$

PARI-GP Script:

for(x = 1, 20, printf("X = %d, Z - Y = %d\n", x, 10 * x - 2 + 11 * floor((x - 8) / 10)))

Output:

X = 1, Z - Y = -3
X = 2, Z - Y = 7
X = 3, Z - Y = 17
X = 4, Z - Y = 27
X = 5, Z - Y = 37
X = 6, Z - Y = 47
X = 7, Z - Y = 57
X = 8, Z - Y = 78
X = 9, Z - Y = 88
X = 10, Z - Y = 98
X = 11, Z - Y = 108
X = 12, Z - Y = 118
X = 13, Z - Y = 128
X = 14, Z - Y = 138
X = 15, Z - Y = 148
X = 16, Z - Y = 158
X = 17, Z - Y = 168
X = 18, Z - Y = 189
X = 19, Z - Y = 199
X = 20, Z - Y = 209

Answer 2

I notice that X * 11 is equal to the value under the corresponding value of the Z axis within a slight discrepancy. Eg 16 * 11 = 176. The corresponding value on the Z axis is 166. Under it is 177 which is close to 176. I think the discrepancy has something to do with Y axis

Sincerely,

WeedWizard420