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Search: id:A084347
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| A084347 |
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Numbers which can be written as a*b*c*... where a, b, c are numbers whose decimal expansions are repetitions of a single digit. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 27, 28, 30, 32, 33, 35, 36, 40, 42, 44, 45, 48, 49, 50, 54, 55, 56, 60, 63, 64, 66, 70, 72, 75, 77, 80, 81, 84, 88, 90, 96, 98, 99, 100, 105, 108, 110, 111, 112, 120, 121, 125, 126, 128, 132, 135, 140
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Superset of A051038. The first numbers in this sequence but not in A051038 are 111, 222, 333, 444, 555. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]
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EXAMPLE
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111*2*33*44 = 322344 is a member.
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MAPLE
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isA010786 := proc(n) if nops(convert(convert(n, base, 10), set)) = 1 then true; else false ; fi; end: isA084347 := proc(n, a010785) local d ; if n = 1 then RETURN(true) ; fi; for d in ( numtheory[divisors](n) minus{1} ) do if d in a010785 then if isA084347(n/d, a010785) then RETURN(true) ; fi; fi; od: RETURN(false) ; end: nmax := 1000: a010785 := [] : for k from 1 to nmax do if isA010786(k) then a010785 := [op(a010785), k] ; fi; od: for n from 1 to nmax do if isA084347(n, a010785) then printf("%d, ", n) ; fi; end: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]
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CROSSREFS
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Cf. A084348.
Sequence in context: A033892 A033620 A033637 this_sequence A051038 A140332 A155182
Adjacent sequences: A084344 A084345 A084346 this_sequence A084348 A084349 A084350
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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), May 27 2003
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EXTENSIONS
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Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008
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