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I Do Belong (Posted on 2009-02-22) Difficulty: 4 of 5
Each number in this table has a significance, and it is not just the property of the individual number.

What statement might define the right for each to appear?

1 1 1 2 4 4 3 9 9 13 169 16 67 4489 25 264 69696 36 1667 2778889 49
.. ... 64

That said, is it possible (and how) to analytically define the precise numerical values of successive rows?

See The Solution Submitted by brianjn    
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Puzzle Thoughts Comment 4 of 4 |
The problem solution can be found in oeis A061912, where:
a(n) is the smallest m for which sqrt(sum of digits of m^2.)
Thus, m corresponds to the entries in the first column.
-> m^2 corresponds to the entries in the second column.
-> n corresponds to the values in the 3rd column.

Edited on September 22, 2023, 10:09 am
  Posted by K Sengupta on 2023-09-22 09:59:00

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