Hi Zoozie,
in the article in
Math Trek: Rainbow Randomness, Science News Online, March 30, 2002 Jacob Licht gave this example:
"EXAMPLE (n = 35): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
This example has a four-term monochromatic (blue) arithmetic progression: 6, 13, 20, 27, with a common difference of 7."
I cannot figure out why he chooses this 6, 13, 20, 27 progression because looking into the data I think the following arithmetic progression is much better here:
15, 18, 21, 24, 27, 30 with a common difference of 3.
It gives me 6 terms here.
Another would be 10, 15, 20, 25, 30 with a difference of 5 and 5 terms.
3, 9, 15, 21, 27 with a difference of 6 has also a better spanwidth.
Do you know why excactly this one?
Franz
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