I did a lot of this in Rome. I had some time to think.
At one point is seemed like a good idea to use the famous Fibonacci sequence, beloved of conspiracy theorists everywhere. I got about 100 or 150 numbers out in the sequence and started to notice something...the digit sums themselves form a pattern.
Turns out I am not the first to see this...I was delighted to come across this site where Gary Meisner writes about a 24-digit repeating sequence of digit sums of Fibonacci numbers. In case you're interested (or trying to figure out if aliens are trying to communicate with you...) the sequence is:
1,1,2,3,5,8,4,3,7,1,8,9,If you assign each digit a color, and you count to 100, the array looks like the square above on the right.
8,8,7,6,4,1,5,6,2,8,1,9.
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