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A087143
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Numbers n such that sum of digits of n is divisible by digital root of n.
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2
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 57, 60, 61, 62, 63, 64, 66, 70, 71, 72, 73, 75, 80, 81, 82, 84, 90
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A007953(a(n)) mod A010888(a(n)) = 0; multiples of 9 are a subsequence (A008591, n>0).
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..10000
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EXAMPLE
| 84 is a term because 12 (its sum of digits) is divisible by 3 (its digital root).
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MAPLE
| A087143 := proc(n) option remember: local k: if(n=1)then return 1:fi: for k from procname(n-1)+1 do if(add(d, d=convert(k, base, 10)) mod (((k-1) mod 9) + 1) = 0)then return k: fi: od: end: seq(A087143(n), n=1..100); # Nathaniel Johnston, May 05 2011
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CROSSREFS
| Cf. A010888, A064807. Complement of A087144.
Sequence in context: A153679 A194906 A160546 * A080683 A174228 A197640
Adjacent sequences: A087140 A087141 A087142 * A087144 A087145 A087146
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KEYWORD
| nonn,easy,base
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 18 2003
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