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Search: id:A114136
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| A114136 |
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n divides sum of digits of all numbers from 1 to n. |
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+0
1
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| 1, 3, 5, 7, 9, 18, 21, 24, 38, 58, 78, 98, 298, 498, 501, 537, 698, 702, 707, 711, 716, 898, 1141, 1197, 1501, 1557, 1998, 2703, 2706, 2712, 2715, 3998, 4502, 4509, 4529, 4536, 5998, 7998, 8001, 8097, 9998, 29998, 36001, 36297, 49998, 54504, 54507, 54510
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) | A037123(a(n)). Sequence is infinite, including 10^(2k)-2 for all k >= 1. For each k >= 1, there is at least one n with A037123(a(n))/a(n) = k.
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MAPLE
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P:=proc(n) local i, k, w, sp; sp:=0; for i from 1 by 1 to n do w:=0; k:=i; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; sp:=sp+w; if sp/i=trunc(sp/i) then print(i); fi; od; end: P(5000); - Paolo P. Lava (ppl(AT)spl.at), Jul 30 2007
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CROSSREFS
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Sequence in context: A064411 A084229 A057482 this_sequence A025072 A083107 A003052
Adjacent sequences: A114133 A114134 A114135 this_sequence A114137 A114138 A114139
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KEYWORD
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base,nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net), Feb 02 2006
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