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A144688
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"Magic" numbers: all numbers from 0 to 9 are magic; a number >= 10 is magic if it is divisible by the number of its digits and the number obtained by deleting the final digit is also magic.
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3
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 102, 105, 108, 120, 123, 126, 129, 141, 144, 147, 162, 165, 168, 180
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Roberto Cabrera finds that there are exactly 20457 terms. (Total corrected by Zak Seidov, Feb 08 2009.)
The 20457th and largest term is the 25-digit number 3608528850368400786036725. - Zak Seidov, Feb 08 2009
a(n) is also the number such that every k-digit substring ( k =< n ) taken from the left, is divisible by k. [From Gaurav Kumar (gaurav.kumar.cse06(AT)itbhu.ac.in), Aug 28 2009]
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LINKS
| Zak Seidov, The full table of n, a(n) for n=1..20457
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EXAMPLE
| 102 has three digits, 102 is divisible by 3, and 10 is also magic, so 102 is a member.
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CROSSREFS
| A subsequence of A098952. Cf. A082399, A051883, A143671.
Sequence in context: A064223 A098952 A172432 * A164836 A032518 A131242
Adjacent sequences: A144685 A144686 A144687 * A144689 A144690 A144691
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KEYWORD
| base,nonn,fini
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), based on email from Roberto Bosch Cabrera (bobbydrg(AT)googlemail.com), Feb 02 2009
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