Generate array of sequence pairs without iteration

If I have M = 13; N = 8; and I need following result

[1 1; 1 2; 1 3; 1 4; 1 5; 1 6; 1 7; 1 8;...
    2 1; 2 2; 2 3; 2 4; 2 5; 2 6; 2 7; 2 8; 3 1; ... 13 7; 13 8]

is there any built-in MATLAB functions to achieve this without iteration? I've tried repmat but couldn't figure out how to get the exact result.

Working solution is:

    a = [];
    for m = 1:13
        for n = 1:8
            a = [a [m n]];
        end
    end

Thanks

[Stephen23]

The standard MATLAB approach is to use NDGRID or MESHGRID:

M = 13;
N = 8;
[x,y] = meshgrid(1:M,1:N);
a = [x(:),y(:)]

a = 104×2

1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 1 2 2

Answer 1

[Dyuman Joshi]

A combination of repelem and repmat -

M=13;N=8;
%corresponding arrays
m=1:M;n=1:N;
out1=[repelem(m',N,1) repmat(n',M,1)]

out1 = 104×2

1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 1 2 2

out1(end,:)

ans = 1×2

13 8

There is a function - combvec, however, it is a part of a toolbox -

out2=rot90(combvec(n,m),-1)

out2 = 104×2

1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 1 2 2

out2(end,:)

ans = 1×2

13 8

[Sabyrzhan Tasbolatov]

Thanks, first out1 works for me, though it needed to be in 1D with 2D elements [1 1; 1 2; 1 3; ...]

[Dyuman Joshi]

"in 1D with 2D elements [1 1; 1 2; 1 3; ...]"

Do you mean like this?

[1 1 1 2 1 3 .. 13 8]

If yes, then you have inserted the semi-colon incorrectly in both your statements, it should be a regular comma. The way to achieve that would be -

M=13;N=8;
out=reshape([repelem(1:M,1,N);repmat(1:N,1,M)],1,[])

out = 1×208

1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 1 2 2 2 3 2 4 2 5 2 6 2 7