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A065214
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Numbers n such that nine 'Reverse and Add' steps are needed to reach a palindrome.
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3
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1397, 1487, 1577, 1667, 1757, 1847, 1937, 2396, 2486, 2576, 2666, 2756, 2846, 2936, 2999, 3395, 3485, 3575, 3665, 3755, 3845, 3935, 3998, 4394, 4484, 4574, 4754, 4844, 4934, 4997, 5393, 5483, 5573, 5663, 5753, 5843, 5933, 5996, 6392, 6482, 6572
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OFFSET
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1,1
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COMMENTS
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The number of steps starts at 0, so palindromes (cf. A002113) are excluded.
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LINKS
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MATHEMATICA
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lenQ[n_]:= Length[NestWhileList[# + FromDigits[Reverse[IntegerDigits[#]]]&, n, #!= FromDigits[Reverse[IntegerDigits[#]]]&, 1, 10]] == 10; Select[Range[1000], lenQ] (* Vincenzo Librandi, Sep 24 2013 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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