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Search: id:A083958
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| A083958 |
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Smallest multiple of n using all digits of (n-1) at least once and no others; or 0 if no such number exists. |
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+0
2
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| 0, 0, 222, 0, 0, 0, 666666, 0, 888888888, 0, 110, 0, 221, 0, 0, 0, 1666, 0, 1881, 0, 20202, 1122, 2222222222222222222222, 2232, 0, 52, 22626, 2772, 82882, 0, 333033, 0, 23232, 0, 0, 0, 3663, 0, 38883, 0, 444440, 114114, 24444, 333344, 0, 4554, 66646
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OFFSET
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1,3
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COMMENT
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If n contains all odd digits then a(n+1) = 0. If n+1 is not divisible by 5 and n contains an even digit then a(n+1) is nonzero. Infinitely many triples of successive zeros are there.
It's not clear whether or not a digit that occurs twice in n-1 is required to occur twice in a(n). The first time it matters is a(101), which is either 101 or 1010. - David Wasserman (wasserma(AT)spawar.navy.mil), Dec 03 2004
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CROSSREFS
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Cf. A083959.
Sequence in context: A020247 A011816 A048902 this_sequence A083959 A078212 A078251
Adjacent sequences: A083955 A083956 A083957 this_sequence A083959 A083960 A083961
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 20 2003
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EXTENSIONS
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Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Dec 03 2004
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