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A064807
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Numbers which are divisible by their digital root (A010888).
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2
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 19, 20, 21, 24, 27, 28, 30, 36, 37, 38, 39, 40, 42, 45, 46, 48, 50, 54, 55, 56, 57, 60, 63, 64, 66, 70, 72, 73, 74, 75, 76, 78, 80, 81, 82, 84, 90, 91, 92, 93, 95, 96, 99, 100, 102, 108, 109, 110, 111, 112, 114, 117, 118
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| All numbers 9m, m > 0, belong to this sequence.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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EXAMPLE
| 48: 4 + 8 = 12 -> 1 + 2 = 3. 48 = 3 * 16 therefore 48 = a(28).
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MAPLE
| A064807 := proc(n) option remember: local k: if(n=1)then return 1:fi: for k from procname(n-1)+1 do if(k mod (((k-1) mod 9) + 1) = 0)then return k: fi: od: end: seq(A064807(n), n=1..100); # Nathaniel Johnston, May 05 2011
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PROG
| (PARI) { n=0; for (m=1, 10^9, d=(m - 1)%9 + 1; if (m%d == 0, write("b064807.txt", n++, " ", m); if (n==1000, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 26 2009]
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CROSSREFS
| Cf. A010888.
Sequence in context: A180479 A193456 A143289 * A007603 A005349 A085135
Adjacent sequences: A064804 A064805 A064806 * A064808 A064809 A064810
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KEYWORD
| nonn,base,easy
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 21 2001
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EXTENSIONS
| OFFSET changed from 0,2 to 1,2 and EXAMPLE changed to 48 = a(28) by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 26 2009
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