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A353440
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Integers m such that the decimal expansion of 1/m contains the digit 4.
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7
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7, 14, 17, 19, 21, 22, 23, 24, 25, 26, 28, 29, 31, 34, 35, 38, 39, 41, 43, 46, 47, 49, 51, 53, 56, 57, 58, 59, 61, 62, 65, 67, 68, 69, 70, 71, 76, 79, 81, 83, 84, 85, 86, 87, 89, 92, 93, 94, 95, 96, 97, 98, 102, 103, 104, 106, 107, 109, 112, 113, 114, 115, 116, 117, 118
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OFFSET
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1,1
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COMMENTS
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If m is a term, 10*m is also a term, so terms with no trailing zeros are all primitive terms.
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LINKS
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EXAMPLE
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m = 14 is a term since 1/14 = 0.0714285714285...
m = 22 is a term since 1/22 = 0.04545454545... (here, 4 is the smallest digit).
m = 693 is a term since 1/693 = 0.001443001443... (here, 4 is the largest digit).
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MATHEMATICA
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f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 125, MemberQ[f@#, 4] &
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CROSSREFS
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A351470 (largest digit=4) and A352158 (smallest digit=4) are subsequences.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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