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So I guess the challenge is based on the premise that no image program can handle the 7-bit pixels. This seems plausible and my default viewers indeed failed. I probably did what most did and made a little program to read the 7-bit pixels and dump them in some "normal" format (I chose RAW)...

I have some doubt about the answer. I think it must be 3748893571890 instead of 3748893571891. I agree with tails. The program gives an approximation of the infinite sum, but there is still a small but relevant error (about 0.9). I used Mathematica's RSolve on a simplified version of the algorithm ...