sum up pixels by using simple continued fraction

When i read an image, there are pixels show in workspace. I need to sum up the first row of pixels by using simple continued fraction. I wish to add those pixels by looping, but i don't know how to assign the position of pixels into loop.

For example, this is the pixels for the first row of image:

[255;255;255;241;220;211;211;221;244;255;255;255]

Now I find the simple continued fraction by using this method:

A = Z(1)+1/(Z(2)+1/(Z(3)+1/(Z(4)+1/(Z(5)+1/(Z(6)+1/(Z(7)+1/(Z(8)+1/(Z(9)+1/(Z(10)+1/(Z(11)+1/Z(12)))))))))));

Can simple continued fraction perform by using looping? Thank you.

Answer 1

[Guillaume]

Your question is confusing since you're talking about rows yet you show a column vector in your example.

To compute the continuous fraction of all the rows at once:

A = Inf;
for column = fliplr(double(Z))  %conversion to double just in case Z is uint8
    A = 1./A + column;
end