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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
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| 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
| 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
| Cf. A110805.
Sequence in context: A005349 A085135 A085133 * A180468 A033075 A132577
Adjacent sequences: A110803 A110804 A110805 * A110807 A110808 A110809
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KEYWORD
| base,easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 14 2005
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EXTENSIONS
| Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 17 2006
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