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An Arrangement of 15 you were asked to place the numbers 1 to 15 in a line so that any two adjacent numbers summed to a square number.
Now, try to arrange the numbers from 1 to 32 in a circle, so any two adjacent numbers again sum a square number.
(In reply to
re: beginning by np_rt)
"Shouldn't the sum of all 32 sums be 2*(32*33/2)=32*33=1056?"
Yes, of course you are right. I am an EEEEEdeeoote, as Ren would say. That's what I get for attempting math without my morning coffee.
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Posted by Larry
on 2005-01-09 23:41:29 |