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Search: id:A070255
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| A070255 |
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Numbers which divided into two substrings by breaking at any digit then one of them divides the other (0 is not to be considered a substring, multiples of 10 are excluded). |
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+0
1
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| 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 24, 26, 28, 31, 36, 39, 41, 42, 44, 48, 51, 55, 61, 62, 63, 66, 71, 77, 81, 82, 84, 88, 91, 93, 99, 101, 102, 105, 111, 121, 122, 123, 124, 126, 131, 141, 142, 147, 151, 155, 161, 162, 164, 168, 171, 181, 182, 183, 186
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Conjecture: sequence is finite.
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EXAMPLE
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168 is a member as the possible substring partitions are (1,68 ) and (16,8). 1 divides 68 and 8 divides 16. 111111 is also a member with substring partitions (1,11111),(11,1111),(111,111),(1111,11),(11111,1). 1111111 is not a member as in the sub string partition (111,1111) 111 does not divide 1111.
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CROSSREFS
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Sequence in context: A020510 A162903 A038687 this_sequence A110403 A119247 A138595
Adjacent sequences: A070252 A070253 A070254 this_sequence A070256 A070257 A070258
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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 06 2002
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 25 2006
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