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Search: id:A118363
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| A118363 |
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Factorial base Niven (or Harshad) numbers: numbers that are divisible by the sum of their factorial base digits. |
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+0
1
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| 1, 2, 4, 6, 8, 9, 12, 16, 18, 20, 24, 26, 27, 30, 35, 36, 40, 48, 52, 54, 56, 60, 70, 72, 75, 80, 90, 91, 96, 105, 108, 112, 117, 120, 122, 123, 126, 132, 135, 140, 144, 148, 150, 152, 156, 161, 168, 175, 180, 186, 192, 204, 208, 210, 222, 224, 240, 244, 245, 246
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(8) = 16 because it is written 220 in factorial base and 2 + 2 + 0 = 4, which is a divisor of 16.
17 is not on the list because it is written 221 in factorial base and 2 + 2 + 1 = 5, which is not a divisor of 17.
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MATHEMATICA
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(*For the definition of the factorial base version of IntegerDigits, see A007623*) Select[Range[250], IntegerQ[ #/(Plus@@factBaseIntDs[ # ])]&]
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CROSSREFS
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Cf. A007623, Integers written in factorial base A005349, Base 10 Harshad numbers.
Sequence in context: A161819 A071562 A100345 this_sequence A146982 A090958 A074901
Adjacent sequences: A118360 A118361 A118362 this_sequence A118364 A118365 A118366
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KEYWORD
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base,easy,nonn
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AUTHOR
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Alonso Delarte (alonso.delarte(AT)gmail.com), May 15 2006
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