

A353437


Integers m such that the decimal expansion of 1/m contains the digit 1.


7



1, 6, 7, 8, 9, 10, 14, 17, 19, 21, 23, 24, 26, 28, 29, 31, 32, 34, 35, 38, 39, 43, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
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OFFSET

1,2


COMMENTS

If m is a term, 10*m is also a term, so terms with no trailing zeros are all primitive terms.


LINKS



EXAMPLE

m = 7 is a term since 1/7 = 0.142857142857... (here, 1 is the smallest digit).
m = 17 is a term since 1/17 = 0.05882352941176470588235294117647...
m = 99 is a term since 1/99 = 0.0101010101... (here, 1 is the largest digit).


MATHEMATICA

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 125, MemberQ[f@#, 1] &]


CROSSREFS

A333402 (largest digit=1) and A352155 (smallest digit=1) are subsequences.


KEYWORD

base,nonn


AUTHOR



STATUS

approved



