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 An arrangement of 15 (Posted on 2003-01-15)
Arrange the numbers from 1 to 15 in such an order that any two consecutive numbers in the sequence add up to a perfect square.

 See The Solution Submitted by levik Rating: 4.2941 (17 votes)

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 I've Got A Solution and a PROBLEM too !!!! | Comment 4 of 13 |
I have got two solutions and I think that these solutions are unique:
The arrangements are as follows:

9,7,2,14,11,5,4,12,13,3,6,10,15,1,8
8,1,15,10,6,3,13,12,4,5,11,14,2,7,9

This problem could have been also written as:

Arrange the numbers from 1 to 17 in such an order that any two consecutive numbers in the sequence add up to a perfect square.

In this case the arrangement would have been:

16,9,7,2,14,11,5,4,12,13,3,6,10,15,1,8,17
17,8,1,15,10,6,3,13,12,4,5,11,14,2,7,9,16

 Posted by Ravi Raja on 2003-01-15 22:09:15

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