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Given the number sequence

0,1,4,9,0,1,9,1,4,2,1,3,0,4,1,5,4,6,9,7,0,9,9,a,4,?,?,?,?,?,?

the challenge is to

  1. Determine the value represented by a
  2. Predict the next 6 entries represented by ?

Note that

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  • 1
    $\begingroup$ rot13(Vf gurer n ernfba jul lbh'ir jevggra "n" naq abg "?") $\endgroup$ Commented Feb 19, 2020 at 10:21
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    $\begingroup$ term "a" was a big give away $\endgroup$ Commented Feb 19, 2020 at 23:02
  • $\begingroup$ Your title says 7 numbers, but everywhere else suggests 6. $\endgroup$ Commented Feb 20, 2020 at 1:48
  • $\begingroup$ @Prim3numbah - I guess the answer to that should be clear now... $\endgroup$ Commented Feb 20, 2020 at 10:31
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    $\begingroup$ @DmitryKamenetsky -- Ahh yes. I always find it hard to find a balance between presenting an interesting challenge and making it too easy or too hard. Fair comment. $\endgroup$ Commented Feb 20, 2020 at 10:33

1 Answer 1

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The rule of the sequence is:

Write each square number in hexadecimal and reverse it.

Example & Answer:

0 = 0 1 = 1 4 = 4 9 = 9 16 = 0, 1 25 = 9, 1 36 = 4, 2 49 = 1, 3 64 = 0, 4 81 = 1, 5 100 = 4, 6 121 = 9, 7 144 = 0, 9 169 = 9, a (a represents 10 in hexadecimal) 196 = 4, c 225 = 1, e 256 = 0, 0, 1

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  • $\begingroup$ Congratulations :-), nice explanation, well done! $\endgroup$ Commented Feb 20, 2020 at 10:34

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