## Solution to: Square Sequence

We first look with which numbers each number can form a pair of which the sum is a square:

 Number: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Square pairs: 1+31+81+15 2+72+14 3+13+63+13 4+54+12 5+45+11 6+36+10 7+27+9 8+1 9+79+16 10+610+15 11+511+14 12+412+13 13+313+12 14+214+11 15+115+10 16+9

As can be seen, there are two numbers that can form a pair in only one way: 8 and 16. Therefore, these two numbers need to be at the start or at the end of the sequence. If we start with the number 16, the sequence follows almost automatically: 16 9 7 2 14 11 5 4 12 13 3 6 10 15 1 8. Of course, the reverse sequence is also a possible solution.

back to the puzzle

Copyright © 1996-2017. RJE-productions. All rights reserved. No part of this website may be published, in any form or by any means, without the prior permission of the authors.
 This website uses cookies. By further use of this website, or by clicking on 'Continue', you give permission for the use of cookies. If you want more information, look at our cookie policy. Continue