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Search: id:A115569
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| A115569 |
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Lynch-Bell numbers: numbers n such that the digits are all different (and do not include 0) and n is divisible by each of its individual digits. |
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+0
9
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15, 24, 36, 48, 124, 126, 128, 132, 135, 162, 168, 175, 184, 216, 248, 264, 312, 315, 324, 384, 396, 412, 432, 612, 624, 648, 672, 728, 735, 784, 816, 824, 864, 936, 1236, 1248, 1296, 1326, 1362, 1368, 1395, 1632, 1692, 1764, 1824
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is a subset of some of the related sequences listed below. Stephen Lynch and Andrew Bell are Brisbane surgeons who contributed to the identification of this sequence.
There are 548 Lynch-Bell numbers. A117911 gives the number of n-digit ones. The digit 5 cannot appear in Lynch-Bell numbers containing an even digit; 5 must be the units digit when it appears. The 7-digit Lynch-Bell numbers are 105 permutations of 1289736 (the smallest such). - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 01 2006
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LINKS
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Rick L. Shepherd, List of all terms
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EXAMPLE
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384/3 = 128, 384/8 = 48, 384/4 = 96. Thus 384 is Lynch-Bell as it is a multiple of each of its three distinct digits.
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CROSSREFS
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Cf. A034838, A034709, A063527.
Cf. A117911, A117912 (have even digits only), A117913 (have odd digits only), A010784.
Adjacent sequences: A115566 A115567 A115568 this_sequence A115570 A115571 A115572
Sequence in context: A008816 A002271 A048381 this_sequence A064653 A130588 A079238
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KEYWORD
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base,easy,nonn,fini
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AUTHOR
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Mike Smith (mtm_king(AT)yahoo.com), Mar 10 2006; also submitted by Andy Edwards (AndynGen(AT)aol.com), Mar 20 2006
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EXTENSIONS
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The full list of terms was sent in by Rick L. Shepherd (see link) and also by Sebastien Dumortier (sdumortier(AT)ac-limoges.fr), Apr 04 2006
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