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A187372 Numbers k such that the decimal digits of 1/k contain every digit at least once. 1
17, 19, 23, 29, 34, 38, 46, 47, 49, 51, 53, 57, 58, 59, 61, 68, 69, 71, 76, 83, 85, 87, 89, 92, 94, 95, 97, 98, 102, 103, 107, 109, 113, 114, 115, 116, 118, 119, 121, 122, 127, 129, 131, 133, 136, 138, 139, 141, 142, 145, 147, 149, 151, 152, 153, 157, 161, 163, 166, 167, 169, 170, 171, 173, 174, 177, 178, 179, 181, 183, 184, 188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

17 is in the sequence because 1/17 = .0588235294117647 0588235294117647 ...

contains every digit at least once ;

31 is not in the sequence because 1/31 = .032258064516129 032258064516129...

without the digit 7.

MAPLE

with(numtheory):Digits:=200:B:={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}: T:=array(1..250)

  : for p from 1 to 200 do:ind:=0:n:=floor(evalf(10^200/p)):l:=length(n):n0:=n:s:=0:for

  m from 1 to l do:q:=n0:u:=irem(q, 10):v:=iquo(q, 10):n0:=v : T[m]:=u:od: A:=convert(T,

  set):z:=nops(A):if A intersect B = B and ind=0 then ind:=1: printf(`%d, `, p):else

  fi:od:

MATHEMATICA

A2 := {}; Do[ If[Length[Union[IntegerDigits[Floor[10^200/n]]]] == 10, A2 =

  Join[A2, {n}]], {n, 1, 200}]; Print[A2]

CROSSREFS

Cf. A187614.

Sequence in context: A092216 A180948 A320869 * A106933 A191041 A106932

Adjacent sequences:  A187369 A187370 A187371 * A187373 A187374 A187375

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Mar 09 2011

STATUS

approved

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Last modified August 3 13:59 EDT 2021. Contains 346438 sequences. (Running on oeis4.)