Fun with num3ers
Sunday, November 14, 2010
Sequence
If we take the numbers from 1 to 15 (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) and rearrange them in such an order that any two consecutive numbers in the sequence add up to a perfect square, we get,
8 1 15 10 6 3 13 12 4 5 11 14 2 7 9
9 16 25 16 9 16 25 16 9 16 25 16 9 16
I ask the readers the following:
Can you take the numbers from 1 to 25 to produce such an arrangement?
How about the numbers from 1 to 100?
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