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A108988 A (twin's digits) self-disappearing sequence. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Two identical digits forming a pair disappear instantly, even if they belong to two successive integers [112 -> 2], [111 -> 1], [13,37 --> 1,7].
LINKS
EXAMPLE
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]
CROSSREFS
Sequence in context: A281278 A281177 A280460 * A097257 A333723 A043996
KEYWORD
base,easy,nonn
AUTHOR
Eric Angelini, Jul 28 2005
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)