For determination of the distance from a certain point, a function should be used. Namely, the input values 'x' are from N (1,2,3,4,5...), and the corresponding outputs 'y' from R, but such that the sequence 'y' (relative to 'x') is increasing;
$y(1)<y(2)<y(3)<y(4)<...$ \\
but to satisfy \\...