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A084347 Numbers which can be written as a*b*c*... where a, b, c are numbers whose decimal expansions are repetitions of a single digit. 0
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Superset of A051038. The first numbers in this sequence but not in A051038 are 111, 222, 333, 444, 555. - R. J. Mathar, Sep 17 2008

LINKS

Table of n, a(n) for n=1..68.

EXAMPLE

111*2*33*44 = 322344 is a member.

MAPLE

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: # R. J. Mathar, Sep 17 2008

CROSSREFS

Cf. A084348.

Sequence in context: A033892 A033620 A033637 * A051038 A140332 A155182

Adjacent sequences:  A084344 A084345 A084346 * A084348 A084349 A084350

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy, May 27 2003

EXTENSIONS

Extended by R. J. Mathar, Sep 17 2008

STATUS

approved

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Last modified March 27 02:08 EDT 2017. Contains 284143 sequences.