This is not the pattern. The pattern expressed by those numbers is that each number is the sum of the squares of the digits in the preceding number. In this case, the sequence repeats after this, so the next three numbers are 4, 16, 37.
For sequences generated by this rule, it can be shown that regardless of what number you start with, the sequence will either eventually reach 1 (at which point it stays there, since 1² = 1), or it will enter this cycle. Numbers for which this sequence eventually reaches 1 are called happy numbers, and numbers which enter into the above cycle are called unhappy numbers. The smallest happy number (other than 1) is 7.
2007-02-06 03:07:33
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answer #1
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answered by Pascal 7
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"each suceeding # is double the sum of digits in previous #."
This sentence does not describe the sequence of numbers presented.
2007-02-06 02:37:56
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answer #2
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answered by bequalming 5
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