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A083122
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a(1) = 1, then the smallest number not included earlier and not a string of 1's such that the concatenation a(n), a(n+1) is a palindrome.
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0
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1, 21, 2, 12, 121, 1121, 211, 112, 1211, 11121, 2111, 1112, 12111, 111121, 21111, 11112, 121111
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