Given the following:

1, 10, 18, 40, 46, 52, 61

what is the next value in the sequence?


Think 1-10.


It is:

$63$. They're numbers that when you flip the digits, it gives you a perfect square. Take all such numbers and arrange in ascending order.

  • $\begingroup$ They're certainly that, but why that one next in particular? (I've so far failed to spot whatever pattern there may be in the sequence.) $\endgroup$ – Gareth McCaughan Jun 11 '16 at 0:10
  • $\begingroup$ It's the next number, unflipped, that when flipped gives you a square. The squares aren't in any particular order, I don't think, the unflipped number just has to give you a square when flipped. $\endgroup$ – DooplissForce Jun 11 '16 at 0:12
  • $\begingroup$ You have the right number, but why is an important aspect as well. The order is not random. $\endgroup$ – erdekhayser Jun 11 '16 at 0:22
  • $\begingroup$ Is it significant that 4 and 9 aren't on the list while 1 is? $\endgroup$ – DooplissForce Jun 11 '16 at 0:23
  • $\begingroup$ I added a hint to the question that should help you figure out the missing details. $\endgroup$ – erdekhayser Jun 11 '16 at 0:25

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