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A108988
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A (twin's digits) self-disappearing sequence.
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2
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1, 10, 110, 111, 112, 210, 220, 221, 331, 332, 442, 443, 553, 554, 664, 665, 775, 776, 886, 887, 997, 998, 1180, 2200, 2201, 2210, 3300, 3301, 3310, 4400, 4401, 4410, 5500, 5501, 5510, 6600, 6601, 6610, 7700, 7701, 7710, 8800, 8801, 8810, 9900, 9901, 9910
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OFFSET
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1,2
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COMMENTS
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Two identical digits forming a pair disappear instantly, even if they belong to two successive integers [112 -> 2], [111 -> 1], [13,37 --> 1,7].
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LINKS
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EXAMPLE
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This strictly increasing sequence begins with 1. The next integer must be the smallest one which makes disappear *all* the previous ones [thus after 1 put 10, leaving a single 0 after disappearance of the two 1's; now the smallest integer which makes disappear this 0 is 110 -- leaving nothing in the sequence; the next integer will be 111 -- because if a(n) erases all previous digits *and* all digits of a(n) itself, the next integer should be a(n)+1]
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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