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Search: id:A110806
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| A110806 |
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Numbers n such that sum of the digits as well as number of digits divides n. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 24, 30, 36, 40, 42, 48, 50, 54, 60, 70, 72, 80, 84, 90, 102, 108, 111, 114, 117, 120, 126, 132, 135, 144, 150, 153, 156, 162, 171, 180, 192, 195, 198, 201, 204, 207, 210, 216, 222, 225, 228, 234, 240, 243, 252
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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48 is a member as sum of the digits 4+8 = 12 and number of digits 2 both divide 48.
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MATHEMATICA
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Select[Range[260], IntegerQ[ #/Sum[DigitCount[ # ][[i]]*i, {i, 1, 9}]] && IntegerQ[ #/Floor[Log[10, # ] + 1]] &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
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CROSSREFS
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Cf. A110805.
Sequence in context: A005349 A085135 A085133 this_sequence A033075 A132577 A044960
Adjacent sequences: A110803 A110804 A110805 this_sequence A110807 A110808 A110809
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 14 2005
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EXTENSIONS
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Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 17 2006
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