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Search: id:A055238
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| A055238 |
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Numbers which are divisible by at least one of their digits in every base. |
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+0
5
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 28, 30, 36, 42, 48, 60, 120
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This list is probably finite and complete. For example 180 fails at base 23 and 240 fails at bases 21, 31 and 33
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EXAMPLE
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9 is included because it can be written as 111111111,1001,100,21,14,13,12,11,10 or 9 and in every case there is a digit which divides 9; 11 is not on the list because in base 4 it is written 23 and 11 is not divisible by either 2 or 3
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CROSSREFS
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Cf. A038770, A055238-A055242.
Sequence in context: A002473 A117296 A096503 this_sequence A100952 A030477 A096868
Adjacent sequences: A055235 A055236 A055237 this_sequence A055239 A055240 A055241
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KEYWORD
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fini,full,nice,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 04 2000
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