A353442 Integers m such that the decimal expansion of 1/m contains the digit 6.

6, 13, 15, 16, 17, 19, 21, 23, 24, 26, 29, 31, 34, 38, 39, 46, 47, 49, 51, 52, 53, 57, 58, 59, 60, 61, 62, 64, 65, 68, 69, 71, 73, 76, 79, 81, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 102, 103, 104, 106, 107, 109, 113, 114, 115, 116, 118, 119, 121, 122, 124, 126

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..66.

Index entries for sequences related to decimal expansion of 1/n.

Example

m = 6 is a term since 1/6 = 0.16666666666...
m = 13 is a term since 1/13 = 0.076923076923...
m = 103125 is a term since 1/103125 = 0.00000969696...

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 150, MemberQ[f@#, 6] &]

Crossrefs

A351472 (largest digit=6) and A352160 (smallest digit=6) are subsequences.

Similar with digit k: A352154 (k=0), A353437 (k=1), A353438 (k=2), A353439 (k=3), A353440 (k=4), A353441 (k=5), this sequence (k=6), A353443 (k=7), A353444 (k=8), A333237 (k=9).

Sequence in context: A031113 A112610 A100205 * A140888 A053753 A228380

Adjacent sequences: A353439 A353440 A353441 * A353443 A353444 A353445

Keyword

nonn,base

Author

Bernard Schott and Robert G. Wilson v, Apr 25 2022

Status

approved