Graphing a periodic rectangular function

How would I represent this as a periodic rectangular function, assuming that the 'n' variable represents integers. I'm a little confused on how to define a variable as an integer as well.

Answer 1

[KSSV]

clc; clear all ;
N = 10 ;
x = 1:200 ;
f = zeros(length(x),N) ;
for n = 1:N
    for i = 1:length(x)
        if x(i)>=2*n && x(i)<= 2*n+1
            f(i,n) = 1 ;
        else
            f(i,n) = 0 ;
        end
    end
end
plot(x,f,'r')

It can done without loops also.